Edit Profile (opens in new tab) Gómez-Aguilar, José Francisco Co-Author Distance Author ID: gomez-aguilar.jose-francisco Published as: Gómez-Aguilar, J. F.; Gómez-Aguilar, José Francisco; Aguilar, J. F. Gómez; Aguilar, José Francisco Gómez; Gomez Aguilar, Jose Francisco; Gómez-Aguilar, José F.; Gomez-Aguilar, J. F.; Gómez-aguilar, J. F.; Gómez Aguilar, J. F.; Francisco Gómez-Aguilar, José; Gomez-Aguilar, Jose Francisco; Gomez-Aguilar, José Francisco; Goméz-Aguilar, José Francisco; Gómez-Aguilar, Jose Francisco; Gómez Aguilar, José Francisco; Aguilar, J. F. more...less External Links: ORCID · Google Scholar · ResearchGate · dblp Documents Indexed: 157 Publications since 1971 3 Contributions as Editor Co-Authors: 183 Co-Authors with 141 Joint Publications 5,418 Co-Co-Authors all top 5 Co-Authors 9 single-authored 27 Escobar-Jiménez, Ricardo Fabricio 17 Atangana, Abdon 12 Khan, Aziz Ullah 11 Yépez-Martínez, Huitzilin 10 Băleanu, Dumitru I. 10 Khan, Hasib 10 Morales-Delgado, Victor Fabian 10 Saad, Khaled Mohammed 10 Solís-Pérez, Jesús Emmanuel 9 Olivares-Peregrino, Victor Hugo 9 Taneco-Hernández, Marco Antonio 7 Abdeljawad, Thabet 7 Coronel-Escamilla, Antonio 7 Jahanshahi, Hadi 7 Khan, Muhammad Altaf 6 Torres, Lizeth 5 Alvarado-Martínez, V. M. 5 Chu, Yuming 5 Owolabi, Kolade Matthew 5 Raja, Muhammad Asif Zahoor 5 Sabir, Zulqurnain 4 Alsaadi, Fawaz E. 4 Bonyah, Ebenezer 4 Calderón-Ramón, Celia 4 Cordova Fraga, Teodoro 4 Ghanbari, Behzad 4 Lavín-Delgado, Jorge E. 4 López-López, M. G. 4 Romero Ugalde, Hector Manuel 4 Torres-Jimenez, Jose 4 Zúñiga-Aguilar, C. J. 3 Alassafi, Madini Obad 3 Escalante-Martínez, Jesús Enrique 3 Guerrero-Ramírez, G. V. 3 Pandey, Prashant K. 3 Rahman, Ghaus Ur 3 Reyes-Reyes, Juan 3 Santamaria, Fidel 3 Shoaib, Muhammad 3 Wang, Bo 2 Aguilar-Meléndez, A. 2 Ali, Khalid Karam 2 Almadiy, Abdulrhman A. 2 Ávalos-Ruiz, L. F. 2 Bekiros, Stelios D. 2 Cerrada, Mariela 2 Chávez-Vázquez, Samuel 2 Chen, Shubo 2 Colina-Morles, Eliezer 2 Cuahutenango-Barro, Bricio 2 Dhayal, Rajesh 2 Dwivedi, Kushal Dhar 2 Fernández-Anaya, Guillermo 2 Hristov, Jordan Yankov 2 Hussain, Takasar 2 Inc, Mustafa 2 Khan, Tahir Saeed 2 Okosun, Kazeem Oare 2 Osman, Mohamed Sayed Ali 2 Ozair, Muhammad 2 Padilla-Longoria, Pablo 2 Reyes, Juan Manuel 2 Rezapour, Shahram 2 Sosa, Ivan O. 2 Srivastava, Hari Mohan 2 Tajadodi, Haleh 2 Titli, Andre 2 Ullah, Saif 2 Valtierra-Rodríguez, M. 2 Vázquez-Guerrero, P. 1 Abdel-Gawad, Hamdy Ibrahim 1 Abro, Kashif Ali 1 Abundez-Pliego, Arturo 1 Adam-Medina, M. 1 Adu, Augustina 1 Agarwal, Praveen 1 Akinlar, Mehmet Ali 1 Alcaraz, Raúl 1 Aldailami, Ali A. 1 Alderremy, Aisha A. 1 Alhadji Abba, Oumate 1 Alharbi, Khalid H. 1 Alipour, Maryam 1 Alkhazzan, Abdulwasea 1 Alotaibi, Naif D. 1 Alshehri, Hashim M. 1 Aly, Ayman A. 1 Aly, Shaban A. H. 1 Amin, Fazli 1 Arfan, Muhammad 1 Aslam, Adnan 1 Aslam, Muhammad 1 Astorga-Zaragoza, Carlos-Manuel 1 Aydogan, Seher Melike 1 Bedi, Pallavi 1 Benavidez-Cruz, M. 1 Bhangale, Nikita 1 Bosch, Paul J. 1 Boutarfa, Bariza 1 Camacho, Oscar ...and 97 more Co-Authors all top 5 Serials 34 Chaos, Solitons and Fractals 15 Physica A 14 Mathematical Methods in the Applied Sciences 14 Fractals 7 Numerical Methods for Partial Differential Equations 5 Optimal Control Applications & Methods 5 Advances in Difference Equations 4 Discrete and Continuous Dynamical Systems. Series S 3 Journal of Computational and Applied Mathematics 3 Computational and Applied Mathematics 3 Mathematical Modelling of Natural Phenomena 3 International Journal of Biomathematics 2 Journal of Mathematical Biology 2 Mathematics and Computers in Simulation 2 Revista Técnica de la Facultad de Ingenieria 2 Applied Mathematical Modelling 2 Journal of Mathematical Chemistry 2 Mathematical Problems in Engineering 2 Multibody System Dynamics 2 Chaos 2 Waves in Random and Complex Media 2 Advances in Mathematical Physics 1 Communications in Mathematical Physics 1 Mathematical Biosciences 1 Fuzzy Sets and Systems 1 Information Sciences 1 The Journal of Mathematical Sociology 1 Programming and Computer Software 1 Neural Networks 1 Journal of Physics A: Mathematical and General 1 Neural Processing Letters 1 Abstract and Applied Analysis 1 PAA. Pattern Analysis and Applications 1 Communications in Nonlinear Science and Numerical Simulation 1 Combustion Theory and Modelling 1 Nonlinear Analysis. Real World Applications 1 Entropy 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Mathematical Biosciences and Engineering 1 Journal of Nonlinear Science and Applications 1 International Journal of Applied and Computational Mathematics 1 International Journal of Systems Science. Principles and Applications of Systems and Integration all top 5 Fields 68 Ordinary differential equations (34-XX) 46 Real functions (26-XX) 46 Numerical analysis (65-XX) 45 Biology and other natural sciences (92-XX) 40 Partial differential equations (35-XX) 17 Systems theory; control (93-XX) 12 Computer science (68-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Integral transforms, operational calculus (44-XX) 6 Special functions (33-XX) 6 Mechanics of particles and systems (70-XX) 5 Optics, electromagnetic theory (78-XX) 5 Information and communication theory, circuits (94-XX) 4 Integral equations (45-XX) 4 Probability theory and stochastic processes (60-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 3 Operator theory (47-XX) 3 Fluid mechanics (76-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Measure and integration (28-XX) 2 Mechanics of deformable solids (74-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 134 Publications have been cited 2,210 times in 1,239 Documents Cited by ▼ Year ▼ A class of analytic perturbations for one-body Schrödinger Hamiltonians. Zbl 0219.47011 Aguilar, J.; Combes, J. M. 220 1971 Fractional derivatives with no-index law property: application to chaos and statistics. Zbl 1415.34010 Atangana, Abdon; Gómez-Aguilar, J. F. 118 2018 Numerical approximation of Riemann-Liouville definition of fractional derivative: from Riemann-Liouville to Atangana-Baleanu. Zbl 1417.65113 Atangana, Abdon; Gómez-aguilar, J. F. 90 2018 Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel. Zbl 1448.34046 Khan, Aziz; Khan, Hasib; Gómez-Aguilar, J. F.; Abdeljawad, Thabet 75 2019 Modeling of a mass-spring-damper system by fractional derivatives with and without a singular kernel. Zbl 1338.70026 Gómez-Aguilar, José Francisco; Yépez-Martínez, Huitzilin; Calderón-Ramón, Celia; Cruz-Orduña, Ines; Escobar-Jiménez, Ricardo Fabricio; Olivares-Peregrino, Victor Hugo 52 2015 Modeling diffusive transport with a fractional derivative without singular kernel. Zbl 1400.82237 Gómez-Aguilar, J. F.; López-López, M. G.; Alvarado-Martínez, V. M.; Reyes-Reyes, J.; Adam-Medina, M. 51 2016 Stability analysis and numerical solutions of fractional order HIV/AIDS model. Zbl 1448.92307 Khan, Aziz; Gómez-Aguilar, J. F.; Saeed Khan, Tahir; Khan, Hasib 49 2019 Hyperchaotic behaviour obtained via a nonlocal operator with exponential decay and Mittag-Leffler laws. Zbl 1374.34296 Atangana, Abdon; Gómez-Aguilar, J. F. 48 2017 A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment. Zbl 1496.92034 Kumar, Sunil; Kumar, Ajay; Samet, Bessem; Gómez-Aguilar, J. F.; Osman, M. S. 48 2020 A fractional order HIV-TB coinfection model with nonsingular Mittag-Leffler law. Zbl 1452.92039 Khan, Hasib; Gómez-Aguilar, J. F.; Alkhazzan, Abdulwasea; Khan, Aziz 48 2020 Fractional Liénard type model of a pipeline within the fractional derivative without singular kernel. Zbl 1419.35208 Gómez-Aguilar, J. F.; Torres, L.; Yépez-Martínez, H.; Baleanu, D.; Reyes, J. M.; Sosa, I. O. 43 2016 Numerical solutions of the fractional Fisher’s type equations with Atangana-Baleanu fractional derivative by using spectral collocation methods. Zbl 1409.35225 Saad, K. M.; Khader, M. M.; Gómez-Aguilar, J. F.; Baleanu, Dumitru 41 2019 Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel. Zbl 1422.35165 Gómez-Aguilar, J. F.; Yépez-Martínez, H.; Torres-Jiménez, J.; Córdova-Fraga, T.; Escobar-Jiménez, R. F.; Olivares-Peregrino, V. H. 41 2017 A new derivative with normal distribution kernel: theory, methods and applications. Zbl 1495.35182 Atangana, Abdon; Gómez-Aguilar, J. F. 39 2017 Space-time fractional diffusion equation using a derivative with nonsingular and regular kernel. Zbl 1400.82228 Gómez-Aguilar, J. F. 39 2017 Analysis of reaction-diffusion system via a new fractional derivative with non-singular kernel. Zbl 1514.35469 Saad, Khaled M.; Gómez-Aguilar, J. F. 38 2018 Modeling the dynamics of nutrient-phytoplankton-zooplankton system with variable-order fractional derivatives. Zbl 1442.92128 Ghanbari, Behzad; Gómez-Aguilar, J. F. 38 2018 Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular. Zbl 1419.35220 Morales-Delgado, Victor Fabian; Gómez-Aguilar, José Francisco; Yépez-Martínez, Huitzilin; Baleanu, Dumitru; Escobar-Jimenez, Ricardo Fabricio; Olivares-Peregrino, Victor Hugo 37 2016 Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler laws. Zbl 1415.65148 Solís-Pérez, J. E.; Gómez-Aguilar, J. F.; Atangana, A. 37 2018 Analytic solution for oxygen diffusion from capillary to tissues involving external force effects: a fractional calculus approach. Zbl 07563353 Morales-Delgado, V. F.; Gómez-Aguilar, J. F.; Saad, Khaled M.; Khan, Muhammad Altaf; Agarwal, P. 36 2019 A new modified definition of Caputo-fabrizio fractional-order derivative and their applications to the multi step homotopy analysis method (MHAM). Zbl 1402.26005 Yépez-Martínez, H.; Gómez-Aguilar, J. F. 36 2019 Triple pendulum model involving fractional derivatives with different kernels. Zbl 1372.70049 Coronel-Escamilla, A.; Gómez-Aguilar, J. F.; López-López, M. G.; Alvarado-Martínez, V. M.; Guerrero-Ramírez, G. V. 35 2016 Solving fractional differential equations of variable-order involving operators with Mittag-Leffler kernel using artificial neural networks. Zbl 1375.34110 Zúñiga-Aguilar, C. J.; Romero-Ugalde, H. M.; Gómez-Aguilar, J. F.; Escobar-Jiménez, R. F.; Valtierra-Rodríguez, M. 35 2017 Irving-Mullineux oscillator via fractional derivatives with Mittag-Leffler kernel. Zbl 1373.34116 Gómez-Aguilar, J. F. 34 2017 Analytical and numerical solutions of a nonlinear alcoholism model via variable-order fractional differential equations. Zbl 1514.92041 Gómez-Aguilar, J. F. 33 2018 Analytical and numerical solutions of electrical circuits described by fractional derivatives. Zbl 1480.94053 Gómez-Aguilar, J. F.; Yépez-Martínez, H.; Escobar-Jiménez, R. F.; Astorga-Zaragoza, C. M.; Reyes-Reyes, J. 33 2016 A dynamical model of asymptomatic carrier zika virus with optimal control strategies. Zbl 1430.92045 Khan, M. A.; Shah, Syed Wasim; Ullah, Saif; Gómez-Aguilar, J. F. 31 2019 Dynamical study of fractional order mutualism parasitism food web module. Zbl 1483.92156 Khan, Aziz; Abdeljawad, Thabet; Gómez-Aguilar, J. F.; Khan, Hasib 31 2020 A numerical solution for a variable-order reaction-diffusion model by using fractional derivatives with non-local and non-singular kernel. Zbl 1514.65100 Coronel-Escamilla, A.; Gómez-Aguilar, J. F.; Torres, L.; Escobar-Jiménez, R. F. 30 2018 The effect of market confidence on a financial system from the perspective of fractional calculus: numerical investigation and circuit realization. Zbl 1495.91135 Chen, Shu-Bo; Jahanshahi, Hadi; Alhadji Abba, Oumate; Solís-Pérez, J. E.; Bekiros, Stelios; Gómez-Aguilar, J. F.; Yousefpour, Amin; Chu, Yu-Ming 28 2020 Mathematical formulation of hepatitis B virus with optimal control analysis. Zbl 1425.92133 Ullah, Saif; Khan, Muhammad Altaf; Gómez-Aguilar, J. F. 25 2019 Investigating a nonlinear dynamical model of COVID-19 disease under fuzzy Caputo, random and ABC fractional order derivative. Zbl 1495.92100 Rahman, Mati ur; Arfan, Muhammad; Shah, Kamal; Gómez-Aguilar, J. F. 25 2020 On the co-infection of dengue fever and Zika virus. Zbl 1425.92179 Bonyah, E.; Khan, M. A.; Okosun, K. O.; Gómez-aguilar, J. F. 23 2019 Stability analysis for fractional order advection-reaction diffusion system. Zbl 1514.35461 Khan, Hasib; Gómez-Aguilar, J. F.; Khan, Aziz; Khan, Tahir Saeed 23 2019 Analysis of fractal-fractional malaria transmission model. Zbl 1482.92097 Gómez-Aguilar, J. F.; Córdova-Fraga, T.; Abdeljawad, Thabet; Khan, Aziz; Khan, Hasib 23 2020 Spectral entropy analysis and synchronization of a multi-stable fractional-order chaotic system using a novel neural network-based chattering-free sliding mode technique. Zbl 1498.34175 Xiong, Pei-Ying; Jahanshahi, Hadi; Alcaraz, Raúl; Chu, Yu-Ming; Gómez-Aguilar, J. F.; Alsaadi, Fawaz E. 22 2021 Analytical and numerical study of the DNA dynamics arising in oscillator-chain of Peyrard-Bishop model. Zbl 1490.92009 Ali, Khalid K.; Cattani, Carlo; Gómez-Aguilar, J. F.; Baleanu, Dumitru; Osman, M. S. 22 2020 On the variable-order fractional memristor oscillator: data security applications and synchronization using a type-2 fuzzy disturbance observer-based robust control. Zbl 1498.94070 Li, Jun-Feng; Jahanshahi, Hadi; Kacar, Sezgin; Chu, Yu-Ming; Gómez-Aguilar, J. F.; Alotaibi, Naif D.; Alharbi, Khalid H. 21 2021 Modeling and simulation of the fractional space-time diffusion equation. Zbl 1489.78003 Gómez-Aguilar, J. F.; Miranda-Hernández, M.; López-López, M. G.; Alvarado-Martínez, V. M.; Baleanu, D. 21 2015 Modelling the effects of heavy alcohol consumption on the transmission dynamics of gonorrhea with optimal control. Zbl 1409.92228 Bonyah, E.; Khan, M. A.; Okosun, K. O.; Gómez-Aguilar, J. F. 20 2019 Synchronization of chaotic systems involving fractional operators of Liouville-Caputo type with variable-order. Zbl 1499.34298 Coronel-Escamilla, A.; Gómez-Aguilar, J. F.; Torres, L.; Escobar-Jiménez, R. F.; Valtierra-Rodríguez, M. 19 2017 A fractional quadratic autocatalysis associated with chemical clock reactions involving linear inhibition. Zbl 1444.92145 Saad, Khaled M.; Srivastava, H. M.; Gómez-Aguilar, J. F. 19 2020 Series solution for the time-fractional coupled mkdv equation using the homotopy analysis method. Zbl 1400.35066 Gómez-Aguilar, J. F.; Yépez-Martínez, H.; Escobar-Jiménez, R. F.; Olivares-Peregrino, V. H.; Reyes, J. M.; Sosa, I. O. 19 2016 Stability analysis and optimal control of a fractional human African trypanosomiasis model. Zbl 1442.92155 Bonyah, Ebenezer; Gómez-Aguilar, J. F.; Adu, Augustina 18 2018 Analysis of two avian influenza epidemic models involving fractal-fractional derivatives with power and Mittag-Leffler memories. Zbl 1429.92098 Ghanbari, Behzad; Gómez-Aguilar, J. F. 18 2019 Asymptomatic carriers in transmission dynamics of dengue with control interventions. Zbl 1467.92203 Jan, Rashid; Khan, Muhammad Altaf; Gómez-Aguilar, J. F. 18 2020 Optimal control problems with Atangana-Baleanu fractional derivative. Zbl 1468.49022 Tajadodi, Haleh; Khan, Aziz; Gómez-Aguilar, José Francisco; Khan, Hasib 18 2021 Chaos in a nonlinear Bloch system with Atangana-Baleanu fractional derivatives. Zbl 1407.78028 Gómez-Aguilar, J. F. 17 2018 On the solutions of fractional-time wave equation with memory effect involving operators with regular kernel. Zbl 1416.35289 Cuahutenango-Barro, B.; Taneco-Hernández, M. A.; Gómez-Aguilar, J. F. 17 2018 On the trajectory tracking control for an SCARA robot manipulator in a fractional model driven by induction motors with PSO tuning. Zbl 1407.70014 Coronel-Escamilla, A.; Torres, F.; Gómez-Aguilar, J. F.; Escobar-Jiménez, R. F.; Guerrero-Ramírez, G. V. 16 2018 First integral method for non-linear differential equations with conformable derivative. Zbl 1458.35463 Yépez-Martínez, H.; Gómez-Aguilar, J. F.; Atangana, Abdon 16 2018 Application of the Caputo-Fabrizio and Atangana-Baleanu fractional derivatives to mathematical model of cancer chemotherapy effect. Zbl 1419.92009 Morales-Delgado, Victor Fabian; Gómez-Aguilar, José Francisco; Saad, Khaled; Escobar Jiménez, Ricardo Fabricio 15 2019 Investigation of a system of nonlinear fractional order hybrid differential equations under usual boundary conditions for existence of solution. Zbl 1471.34022 Shah, Anwar; Khan, Rahmat Ali; Khan, Aziz; Khan, Hasib; Gómez-Aguilar, José Francisco 15 2021 Existence results and stability criteria for ABC-fuzzy-Volterra integro-differential equation. Zbl 1482.45005 Khan, Hasib; Gomez-Aguilar, J. F.; Abdeljawad, Thabet; Khan, Aziz 15 2020 Modelling, analysis and simulations of some chaotic systems using derivative with Mittag-Leffler kernel. Zbl 1448.34023 Owolabi, Kolade M.; Gómez-Aguilar, J. F.; Karaagac, Berat 14 2019 A fractional mathematical model of breast cancer competition model. Zbl 1448.92105 Solís-Pérez, J. E.; Gómez-Aguilar, J. F.; Atangana, A. 14 2019 Approximate endpoint solutions for a class of fractional \(q\)-differential inclusions by computational results. Zbl 07468611 Aydogan, S. M.; Aguilar, J. F. Gómez; Baleanu, D.; Rezapour, Sh.; Samei, M. E. 14 2020 Neuro-swarm intelligent computing paradigm for nonlinear HIV infection model with CD4+ T-cells. Zbl 07428998 Umar, Muhammad; Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Gómez Aguilar, J. F.; Amin, Fazli; Shoaib, Muhammad 13 2021 Chaos and multiple attractors in a fractal-fractional Shinriki’s oscillator model. Zbl 07572431 Gómez-Aguilar, J. F. 13 2020 Fractional order neural networks for system identification. Zbl 1489.93024 Zuñiga Aguilar, C. J.; Gómez-Aguilar, J. F.; Alvarado-Martínez, V. M.; Romero-Ugalde, Hector M. 13 2020 A fractional numerical study on a chronic hepatitis C virus infection model with immune response. Zbl 1490.92034 Saad, Khaled M.; Gómez-Aguilar, J. F.; Almadiy, Abdulrhman A. 13 2020 FMNEICS: fractional Meyer neuro-evolution-based intelligent computing solver for doubly singular multi-fractional order Lane-Emden system. Zbl 1476.65157 Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Shoaib, Muhammad; Gómez Aguilar, J. F. 13 2020 FPGA implementation and control of chaotic systems involving the variable-order fractional operator with Mittag-Leffler law. Zbl 1416.93089 Ávalos-Ruiz, L. F.; Zúñiga-Aguilar, C. J.; Gómez-Aguilar, J. F.; Escobar-Jiménez, R. F.; Romero-Ugalde, H. M. 13 2018 A mathematical model of circadian rhythms synchronization using fractional differential equations system of coupled van der Pol oscillators. Zbl 1378.35322 Escalante-Martínez, J. E.; Gómez-Aguilar, J. F.; Calderón-Ramón, C.; Aguilar-Meléndez, A.; Padilla-Longoria, P. 12 2018 Fractional conformable derivatives of Liouville-Caputo type with low-fractionality. Zbl 1514.26003 Morales-Delgado, V. F.; Gómez-Aguilar, J. F.; Escobar-Jiménez, R. F.; Taneco-Hernández, M. A. 12 2018 Fractional sub-equation method for Hirota-Satsuma-coupled KdV equation and coupled mKdV equation using the Atangana’s conformable derivative. Zbl 1505.35358 Yépez-Martínez, H.; Gómez-Aguilar, J. F. 12 2019 Formulation of Euler-Lagrange and Hamilton equations involving fractional operators with regular kernel. Zbl 1419.34014 Coronel-Escamilla, Antonio; Gómez-Aguilar, José Francisco; Baleanu, Dumitru; Escobar-Jiménez, Ricardo Fabricio; Olivares-Peregrino, Victor Hugo; Abundez-Pliego, Arturo 12 2016 Some new mathematical models of the fractional-order system of human immune against IAV infection. Zbl 1470.92088 Srivastava, H. M.; Saad, Khaled M.; Gómez-Aguilar, J. F.; Almadiy, Abdulrhman A. 11 2020 New approximate analytical solutions for the nonlinear fractional Schrödinger equation with second-order spatio-temporal dispersion via double Laplace transform method. Zbl 1473.35508 Kaabar, Mohammed K. A.; Martínez, Francisco; Gómez-Aguilar, José Francisco; Ghanbari, Behzad; Kaplan, Melike; Günerhan, Hatira 11 2021 Editorial: Fractional differential and integral operators with non-singular and non-local kernel with application to nonlinear dynamical systems. Zbl 1434.00041 11 2020 Optimal control of nonlinear time-delay fractional differential equations with Dickson polynomials. Zbl 1481.49032 Chen, Shu-Bo; Soradi-Zeid, Samaneh; Alipour, Maryam; Chu, Yu-Ming; Gómez-Aguilar, J. F.; Jahanshahi, Hadi 11 2021 Nonlocal transport processes and the fractional Cattaneo-Vernotte equation. Zbl 1400.35215 Aguilar, J. F. Gómez; Córdova-Fraga, T.; Tórres-Jiménez, J.; Escobar-Jiménez, R. F.; Olivares-Peregrino, V. H.; Guerrero-Ramírez, G. V. 11 2016 On the dynamics of fractional maps with power-law, exponential decay and Mittag-Leffler memory. Zbl 1448.34086 Ávalos-Ruiz, L. F.; Gómez-Aguilar, J. F.; Atangana, A.; Owolabi, Kolade M. 10 2019 On a more general fractional integration by parts formulae and applications. Zbl 1527.26004 Abdeljawad, Thabet; Atangana, Abdon; Gómez-Aguilar, J. F.; Jarad, Fahd 10 2019 Solutions of a disease model with fractional white noise. Zbl 1489.92132 Akinlar, M. A.; Inc, Mustafa; Gómez-Aguilar, J. F.; Boutarfa, B. 9 2020 Analysis of dengue fever outbreak by generalized fractional derivative. Zbl 1500.34036 Bosch, Paul; Gómez-Aguilar, J. F.; Rodríguez, José M.; Sigarreta, José M. 9 2020 Numerical and analytical solutions of nonlinear differential equations involving fractional operators with power and Mittag-Leffler kernel. Zbl 1462.34022 Yépez-Martínez, H.; Gómez-Aguilar, J. F. 9 2018 Mathematical modeling of the smoking dynamics using fractional differential equations with local and nonlocal kernel. Zbl 1438.92034 Morales-Delgado, V. F.; Gómez-Aguilar, J. F.; Taneco-Hernández, M. A.; Escobar-Jiménez, R. F.; Olivares-Peregrino, V. H. 9 2018 Fractional Kuramoto-Sivashinsky equation with power law and stretched Mittag-Leffler kernel. Zbl 07568251 Taneco-Hernández, M. A.; Morales-Delgado, V. F.; Gómez-Aguilar, J. F. 7 2019 A predator-prey model involving variable-order fractional differential equations with Mittag-Leffler kernel. Zbl 1494.92100 Khan, Aziz; Alshehri, Hashim M.; Gómez-Aguilar, J. F.; Khan, Zareen A.; Fernández-Anaya, G. 7 2021 Optical solitons solution of resonance nonlinear Schrödinger type equation with Atangana’s-conformable derivative using sub-equation method. Zbl 1520.78046 Yépez-Martínez, H.; Gómez-Aguilar, J. F. 7 2021 Fractional order Volterra integro-differential equation with Mittag-Leffler kernel. Zbl 1482.65238 Khan, Hasib; Abdeljawad, Thabet; Gómez-Aguilar, J. F.; Tajadodi, Haleh; Khan, Aziz 7 2021 Tracking control and stabilization of a fractional financial risk system using novel active finite-time fault-tolerant controls. Zbl 1482.91215 Wang, Bo; Jahanshahi, Hadi; Bekiros, Stelios; Chu, Yu-Ming; Gómez-Aguilar, J. F.; Alsaadi, Fawaz E.; Alassafi, Madini O. 7 2021 Chaos in a three-cell population cancer model with variable-order fractional derivative with power, exponential and Mittag-Leffler memories. Zbl 1495.92030 Kachia, Krunal; Solís-Pérez, J. E.; Gómez-Aguilar, J. F. 7 2020 Numerical solutions for the reaction-diffusion, diffusion-wave, and Cattaneo equations using a new operational matrix for the Caputo-Fabrizio derivative. Zbl 1459.65199 Kumar, Sachin; Aguilar, José Francisco Gómez; Pandey, Prashant 6 2020 A novel method to solve variable-order fractional delay differential equations based in Lagrange interpolations. Zbl 1448.65060 Zúñiga-Aguilar, C. J.; Gómez-Aguilar, J. F.; Escobar-Jiménez, R. F.; Romero-Ugalde, H. M. 6 2019 Space-time fractional diffusion-advection equation with Caputo derivative. Zbl 1472.35283 Aguilar, José Francisco Gómez; Hernández, Margarita Miranda 6 2014 Numerical simulations of multilingual competition dynamics with nonlocal derivative. Zbl 1442.91080 Owolabi, Kolade M.; Gómez-Aguilar, J. F. 6 2018 Mild solutions of coupled hybrid fractional order system with Caputo-Hadamard derivatives. Zbl 1517.34084 Bedi, Pallavi; Kumar, Anoop; Abdeljawad, Thabet; Khan, Aziz; Gómez-Aguilar, J. F. 6 2021 Synchronized bioluminescence behavior of a set of fireflies involving fractional operators of Liouville-Caputo type. Zbl 1388.35195 Escalante-Martínez, J. E.; Gómez-Aguilar, J. F.; Calderón-Ramón, C.; Aguilar-Meléndez, A.; Padilla-Longoria, P. 5 2018 Dynamical aspects of pine wilt disease and control measures. Zbl 1498.92124 Hussain, Takasar; Aslam, Adnan; Ozair, Muhammad; Tasneem, Fatima; Gómez-Aguilar, J. F. 5 2021 New chaotic attractors: application of fractal-fractional differentiation and integration. Zbl 1481.34055 Gómez-Aguilar, J. F.; Atangana, Abdon 5 2021 Fractional conformable attractors with low fractality. Zbl 1516.35472 Morales-Delgado, V. F.; Gómez-Aguilar, J. F.; Escobar-Jiménez, R. F. 5 2018 Fractional order controllers increase the robustness of closed-loop deep brain stimulation systems. Zbl 1495.92019 Coronel-Escamilla, Antonio; Gomez-Aguilar, Jose Francisco; Stamova, Ivanka; Santamaria, Fidel 5 2020 On the possibility of the jerk derivative in electrical circuits. Zbl 1357.34086 Gómez-Aguilar, J. F.; Rosales-García, J.; Escobar-Jiménez, R. F.; López-López, M. G.; Alvarado-Martínez, V. M.; Olivares-Peregrino, V. H. 4 2016 Adaptive random fuzzy cognitive maps. Zbl 1036.68522 Aguilar, Jose 4 2002 New models of fractional blood ethanol and two-cell cubic autocatalator reaction equations. Zbl 07782452 Alderremy, Aisha A.; Saad, Khaled M.; Gómez-Aguilar, José Francisco; Aly, Shaban; Kumar, Devendra; Singh, Jagdev 4 2023 Design of a high-gain observer for the synchronization of chimera states in neurons coupled with fractional dynamics. Zbl 07572423 Vázquez-Guerrero, P.; Gómez-Aguilar, J. F.; Santamaria, F.; Escobar-Jiménez, R. F. 4 2020 Dual fractional analysis of blood alcohol model via non-integer order derivatives. Zbl 1444.92036 Abro, Kashif Ali; Gómez-Aguilar, J. F. 4 2019 New bilingualism model based on fractional operators with Mittag-Leffler kernel. Zbl 1417.91425 Gomez-Aguilar, J. F. 4 2017 Integrated neuro-evolution heuristic with sequential quadratic programming for second-order prediction differential models. Zbl 07798397 Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Wahab, Hafiz Abdul; Shoaib, Muhammad; Aguilar, J. F. Gómez 2 2024 New models of fractional blood ethanol and two-cell cubic autocatalator reaction equations. Zbl 07782452 Alderremy, Aisha A.; Saad, Khaled M.; Gómez-Aguilar, José Francisco; Aly, Shaban; Kumar, Devendra; Singh, Jagdev 4 2023 Assessment of the performance of the hyperbolic-NILT method to solve fractional differential equations. Zbl 07700829 González-Calderón, Alfredo; Vivas-Cruz, Luis X.; Taneco-Hernández, M. A.; Gómez-Aguilar, J. F. 3 2023 Gudermannian neural networks to investigate the Liénard differential model. Zbl 07537366 Wang, Bo; Wang, Ye; Gómez-Aguilar, J. F.; Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Jahanshahi, Hadi; Alassafi, Madini O.; Alsaadi, Fawaz E. 3 2022 Numerical computing to solve the nonlinear corneal system of eye surgery using the capability of morlet wavelet artificial neural networks. Zbl 07578007 Wang, Bo; Gómez-Aguilar, J. F.; Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Xia, Wei-Feng; Jahanshahi, Hadi; Alassafi, Madini O.; Alsaadi, Fawaz E. 3 2022 Stability analysis of Atangana-Baleanu fractional stochastic differential systems with impulses. Zbl 1518.93146 Dhayal, Rajesh; Gómez-Aguilar, J. F.; Torres-Jiménez, J. 3 2022 Artificial neural networks with conformable transfer function for improving the performance in thermal and environmental processes. Zbl 07751335 Solís-Pérez, J. E.; Hernández, J. A.; Parrales, A.; Gómez-Aguilar, J. F.; Huicochea, A. 2 2022 Optimal controls for fractional stochastic differential systems driven by Rosenblatt process with impulses. Zbl 07753543 Dhayal, Rajesh; Francisco Gómez-Aguilar, José; Fernández-Anaya, Guillermo 1 2022 Stability analysis for fractional order implicit \(\psi\)-Hilfer differential equations. Zbl 1527.34011 Asma; Gómez-Aguilar, José Francisco; ur Rahman, Ghaus; Javed, Maryam 1 2022 Dynamical aspects of a delayed epidemic model with subdivision of susceptible population and control strategies. Zbl 1504.92168 Zhang, Zizhen; ur Rahman, Ghaus; Gómez-Aguilar, J. F.; Torres-Jiménez, J. 1 2022 An efficient operational matrix technique to solve the fractional order non-local boundary value problems. Zbl 1497.92373 Kumar, Saurabh; Gupta, Vikas; Gómez-Aguilar, J. F. 1 2022 On the qualitative study of a two-trophic plant-herbivore model. Zbl 1498.92303 Khan, Muhammad Salman; Samreen, Maria; Ozair, Muhammad; Hussain, Takasar; Elsayed, E. M.; Gómez-Aguilar, J. F. 1 2022 Spectral entropy analysis and synchronization of a multi-stable fractional-order chaotic system using a novel neural network-based chattering-free sliding mode technique. Zbl 1498.34175 Xiong, Pei-Ying; Jahanshahi, Hadi; Alcaraz, Raúl; Chu, Yu-Ming; Gómez-Aguilar, J. F.; Alsaadi, Fawaz E. 22 2021 On the variable-order fractional memristor oscillator: data security applications and synchronization using a type-2 fuzzy disturbance observer-based robust control. Zbl 1498.94070 Li, Jun-Feng; Jahanshahi, Hadi; Kacar, Sezgin; Chu, Yu-Ming; Gómez-Aguilar, J. F.; Alotaibi, Naif D.; Alharbi, Khalid H. 21 2021 Optimal control problems with Atangana-Baleanu fractional derivative. Zbl 1468.49022 Tajadodi, Haleh; Khan, Aziz; Gómez-Aguilar, José Francisco; Khan, Hasib 18 2021 Investigation of a system of nonlinear fractional order hybrid differential equations under usual boundary conditions for existence of solution. Zbl 1471.34022 Shah, Anwar; Khan, Rahmat Ali; Khan, Aziz; Khan, Hasib; Gómez-Aguilar, José Francisco 15 2021 Neuro-swarm intelligent computing paradigm for nonlinear HIV infection model with CD4+ T-cells. Zbl 07428998 Umar, Muhammad; Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Gómez Aguilar, J. F.; Amin, Fazli; Shoaib, Muhammad 13 2021 New approximate analytical solutions for the nonlinear fractional Schrödinger equation with second-order spatio-temporal dispersion via double Laplace transform method. Zbl 1473.35508 Kaabar, Mohammed K. A.; Martínez, Francisco; Gómez-Aguilar, José Francisco; Ghanbari, Behzad; Kaplan, Melike; Günerhan, Hatira 11 2021 Optimal control of nonlinear time-delay fractional differential equations with Dickson polynomials. Zbl 1481.49032 Chen, Shu-Bo; Soradi-Zeid, Samaneh; Alipour, Maryam; Chu, Yu-Ming; Gómez-Aguilar, J. F.; Jahanshahi, Hadi 11 2021 A predator-prey model involving variable-order fractional differential equations with Mittag-Leffler kernel. Zbl 1494.92100 Khan, Aziz; Alshehri, Hashim M.; Gómez-Aguilar, J. F.; Khan, Zareen A.; Fernández-Anaya, G. 7 2021 Optical solitons solution of resonance nonlinear Schrödinger type equation with Atangana’s-conformable derivative using sub-equation method. Zbl 1520.78046 Yépez-Martínez, H.; Gómez-Aguilar, J. F. 7 2021 Fractional order Volterra integro-differential equation with Mittag-Leffler kernel. Zbl 1482.65238 Khan, Hasib; Abdeljawad, Thabet; Gómez-Aguilar, J. F.; Tajadodi, Haleh; Khan, Aziz 7 2021 Tracking control and stabilization of a fractional financial risk system using novel active finite-time fault-tolerant controls. Zbl 1482.91215 Wang, Bo; Jahanshahi, Hadi; Bekiros, Stelios; Chu, Yu-Ming; Gómez-Aguilar, J. F.; Alsaadi, Fawaz E.; Alassafi, Madini O. 7 2021 Mild solutions of coupled hybrid fractional order system with Caputo-Hadamard derivatives. Zbl 1517.34084 Bedi, Pallavi; Kumar, Anoop; Abdeljawad, Thabet; Khan, Aziz; Gómez-Aguilar, J. F. 6 2021 Dynamical aspects of pine wilt disease and control measures. Zbl 1498.92124 Hussain, Takasar; Aslam, Adnan; Ozair, Muhammad; Tasneem, Fatima; Gómez-Aguilar, J. F. 5 2021 New chaotic attractors: application of fractal-fractional differentiation and integration. Zbl 1481.34055 Gómez-Aguilar, J. F.; Atangana, Abdon 5 2021 Fractional Adams-Bashforth scheme with the Liouville-Caputo derivative and application to chaotic systems. Zbl 1475.65076 Owolabi, Kolade M.; Atangana, Abdon; Gómez-Aguilar, Jose Francisco 3 2021 Finite difference/collocation method to solve multi term variable-order fractional reaction-advection-diffusion equation in heterogeneous medium. Zbl 07776058 Dwivedi, Kushal Dhar; Rajeev; Das, S.; Gomez-Aguilar, José Francisco 3 2021 Anti-synchronization of chaotic systems using a fractional conformable derivative with power law. Zbl 1487.65194 Solís-Pérez, Jesús Emmanuel; Gómez-Aguilar, José Francisco; Baleanu, Dumitru; Tchier, Fairouz; Ragoub, Lakhdar 3 2021 An intelligent sliding mode controller based on LAMDA for a class of SISO uncertain systems. Zbl 1527.93034 Morales, Luis; Aguilar, Jose; Camacho, Oscar; Rosales, Andrés 1 2021 On solution of a class of nonlinear variable order fractional reaction-diffusion equation with Mittag-Leffler kernel. Zbl 07775999 Pandey, Prashant; Gómez-Aguilar, José Francisco 1 2021 New solitary wave solutions of the space-time fractional coupled equal width wave equation (CEWE) and coupled modified equal width wave equation (CMEWE). Zbl 1485.35111 Ali, Khalid K.; Gómez-Aguilar, J. F. 1 2021 A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment. Zbl 1496.92034 Kumar, Sunil; Kumar, Ajay; Samet, Bessem; Gómez-Aguilar, J. F.; Osman, M. S. 48 2020 A fractional order HIV-TB coinfection model with nonsingular Mittag-Leffler law. Zbl 1452.92039 Khan, Hasib; Gómez-Aguilar, J. F.; Alkhazzan, Abdulwasea; Khan, Aziz 48 2020 Dynamical study of fractional order mutualism parasitism food web module. Zbl 1483.92156 Khan, Aziz; Abdeljawad, Thabet; Gómez-Aguilar, J. F.; Khan, Hasib 31 2020 The effect of market confidence on a financial system from the perspective of fractional calculus: numerical investigation and circuit realization. Zbl 1495.91135 Chen, Shu-Bo; Jahanshahi, Hadi; Alhadji Abba, Oumate; Solís-Pérez, J. E.; Bekiros, Stelios; Gómez-Aguilar, J. F.; Yousefpour, Amin; Chu, Yu-Ming 28 2020 Investigating a nonlinear dynamical model of COVID-19 disease under fuzzy Caputo, random and ABC fractional order derivative. Zbl 1495.92100 Rahman, Mati ur; Arfan, Muhammad; Shah, Kamal; Gómez-Aguilar, J. F. 25 2020 Analysis of fractal-fractional malaria transmission model. Zbl 1482.92097 Gómez-Aguilar, J. F.; Córdova-Fraga, T.; Abdeljawad, Thabet; Khan, Aziz; Khan, Hasib 23 2020 Analytical and numerical study of the DNA dynamics arising in oscillator-chain of Peyrard-Bishop model. Zbl 1490.92009 Ali, Khalid K.; Cattani, Carlo; Gómez-Aguilar, J. F.; Baleanu, Dumitru; Osman, M. S. 22 2020 A fractional quadratic autocatalysis associated with chemical clock reactions involving linear inhibition. Zbl 1444.92145 Saad, Khaled M.; Srivastava, H. M.; Gómez-Aguilar, J. F. 19 2020 Asymptomatic carriers in transmission dynamics of dengue with control interventions. Zbl 1467.92203 Jan, Rashid; Khan, Muhammad Altaf; Gómez-Aguilar, J. F. 18 2020 Existence results and stability criteria for ABC-fuzzy-Volterra integro-differential equation. Zbl 1482.45005 Khan, Hasib; Gomez-Aguilar, J. F.; Abdeljawad, Thabet; Khan, Aziz 15 2020 Approximate endpoint solutions for a class of fractional \(q\)-differential inclusions by computational results. Zbl 07468611 Aydogan, S. M.; Aguilar, J. F. Gómez; Baleanu, D.; Rezapour, Sh.; Samei, M. E. 14 2020 Chaos and multiple attractors in a fractal-fractional Shinriki’s oscillator model. Zbl 07572431 Gómez-Aguilar, J. F. 13 2020 Fractional order neural networks for system identification. Zbl 1489.93024 Zuñiga Aguilar, C. J.; Gómez-Aguilar, J. F.; Alvarado-Martínez, V. M.; Romero-Ugalde, Hector M. 13 2020 A fractional numerical study on a chronic hepatitis C virus infection model with immune response. Zbl 1490.92034 Saad, Khaled M.; Gómez-Aguilar, J. F.; Almadiy, Abdulrhman A. 13 2020 FMNEICS: fractional Meyer neuro-evolution-based intelligent computing solver for doubly singular multi-fractional order Lane-Emden system. Zbl 1476.65157 Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Shoaib, Muhammad; Gómez Aguilar, J. F. 13 2020 Some new mathematical models of the fractional-order system of human immune against IAV infection. Zbl 1470.92088 Srivastava, H. M.; Saad, Khaled M.; Gómez-Aguilar, J. F.; Almadiy, Abdulrhman A. 11 2020 Editorial: Fractional differential and integral operators with non-singular and non-local kernel with application to nonlinear dynamical systems. Zbl 1434.00041 11 2020 Solutions of a disease model with fractional white noise. Zbl 1489.92132 Akinlar, M. A.; Inc, Mustafa; Gómez-Aguilar, J. F.; Boutarfa, B. 9 2020 Analysis of dengue fever outbreak by generalized fractional derivative. Zbl 1500.34036 Bosch, Paul; Gómez-Aguilar, J. F.; Rodríguez, José M.; Sigarreta, José M. 9 2020 Chaos in a three-cell population cancer model with variable-order fractional derivative with power, exponential and Mittag-Leffler memories. Zbl 1495.92030 Kachia, Krunal; Solís-Pérez, J. E.; Gómez-Aguilar, J. F. 7 2020 Numerical solutions for the reaction-diffusion, diffusion-wave, and Cattaneo equations using a new operational matrix for the Caputo-Fabrizio derivative. Zbl 1459.65199 Kumar, Sachin; Aguilar, José Francisco Gómez; Pandey, Prashant 6 2020 Fractional order controllers increase the robustness of closed-loop deep brain stimulation systems. Zbl 1495.92019 Coronel-Escamilla, Antonio; Gomez-Aguilar, Jose Francisco; Stamova, Ivanka; Santamaria, Fidel 5 2020 Design of a high-gain observer for the synchronization of chimera states in neurons coupled with fractional dynamics. Zbl 07572423 Vázquez-Guerrero, P.; Gómez-Aguilar, J. F.; Santamaria, F.; Escobar-Jiménez, R. F. 4 2020 A novel predictor-corrector scheme for solving variable-order fractional delay differential equations involving operators with Mittag-Leffler kernel. Zbl 1440.65066 Coronel-Escamilla, Antonio; Gómez-Aguilar, José Francisco 3 2020 Fractional-order passivity-based adaptive controller for a robot manipulator type scara. Zbl 1482.93311 Lavín-Delgado, J. E.; Chávez-Vázquez, S.; Gómez-Aguilar, J. F.; Delgado-Reyes, G.; Ruíz-Jaimes, M. A. 3 2020 Trajectory tracking control based on non-singular fractional derivatives for the PUMA 560 robot arm. Zbl 1457.70021 Lavín-Delgado, J. E.; Solís-Pérez, J. E.; Gómez-Aguilar, J. F.; Escobar-Jiménez, R. F. 2 2020 A transform based local RBF method for 2D linear PDE with Caputo-Fabrizio derivative. Zbl 1453.35178 Kamran; Ali, Amjad; Gómez-Aguilar, José Francisco 1 2020 Mathematical modeling approach to the fractional Bergman’s model. Zbl 1442.34084 Morales-Delgado, Victor Fabian; Gómez-Aguilar, José Francisco; Taneco-Hernández, Marco Antonio 1 2020 Double-quasi-wavelet numerical method for the variable-order time fractional and Riesz space fractional reaction-diffusion equation involving derivatives in Caputo-Fabrizio sense. Zbl 07468629 Kumar, Sachin; Pandey, Prashant; Gómez-Aguilar, J. F.; Baleanu, D. 1 2020 Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel. Zbl 1448.34046 Khan, Aziz; Khan, Hasib; Gómez-Aguilar, J. F.; Abdeljawad, Thabet 75 2019 Stability analysis and numerical solutions of fractional order HIV/AIDS model. Zbl 1448.92307 Khan, Aziz; Gómez-Aguilar, J. F.; Saeed Khan, Tahir; Khan, Hasib 49 2019 Numerical solutions of the fractional Fisher’s type equations with Atangana-Baleanu fractional derivative by using spectral collocation methods. Zbl 1409.35225 Saad, K. M.; Khader, M. M.; Gómez-Aguilar, J. F.; Baleanu, Dumitru 41 2019 Analytic solution for oxygen diffusion from capillary to tissues involving external force effects: a fractional calculus approach. Zbl 07563353 Morales-Delgado, V. F.; Gómez-Aguilar, J. F.; Saad, Khaled M.; Khan, Muhammad Altaf; Agarwal, P. 36 2019 A new modified definition of Caputo-fabrizio fractional-order derivative and their applications to the multi step homotopy analysis method (MHAM). Zbl 1402.26005 Yépez-Martínez, H.; Gómez-Aguilar, J. F. 36 2019 A dynamical model of asymptomatic carrier zika virus with optimal control strategies. Zbl 1430.92045 Khan, M. A.; Shah, Syed Wasim; Ullah, Saif; Gómez-Aguilar, J. F. 31 2019 Mathematical formulation of hepatitis B virus with optimal control analysis. Zbl 1425.92133 Ullah, Saif; Khan, Muhammad Altaf; Gómez-Aguilar, J. F. 25 2019 On the co-infection of dengue fever and Zika virus. Zbl 1425.92179 Bonyah, E.; Khan, M. A.; Okosun, K. O.; Gómez-aguilar, J. F. 23 2019 Stability analysis for fractional order advection-reaction diffusion system. Zbl 1514.35461 Khan, Hasib; Gómez-Aguilar, J. F.; Khan, Aziz; Khan, Tahir Saeed 23 2019 Modelling the effects of heavy alcohol consumption on the transmission dynamics of gonorrhea with optimal control. Zbl 1409.92228 Bonyah, E.; Khan, M. A.; Okosun, K. O.; Gómez-Aguilar, J. F. 20 2019 Analysis of two avian influenza epidemic models involving fractal-fractional derivatives with power and Mittag-Leffler memories. Zbl 1429.92098 Ghanbari, Behzad; Gómez-Aguilar, J. F. 18 2019 Application of the Caputo-Fabrizio and Atangana-Baleanu fractional derivatives to mathematical model of cancer chemotherapy effect. Zbl 1419.92009 Morales-Delgado, Victor Fabian; Gómez-Aguilar, José Francisco; Saad, Khaled; Escobar Jiménez, Ricardo Fabricio 15 2019 Modelling, analysis and simulations of some chaotic systems using derivative with Mittag-Leffler kernel. Zbl 1448.34023 Owolabi, Kolade M.; Gómez-Aguilar, J. F.; Karaagac, Berat 14 2019 A fractional mathematical model of breast cancer competition model. Zbl 1448.92105 Solís-Pérez, J. E.; Gómez-Aguilar, J. F.; Atangana, A. 14 2019 Fractional sub-equation method for Hirota-Satsuma-coupled KdV equation and coupled mKdV equation using the Atangana’s conformable derivative. Zbl 1505.35358 Yépez-Martínez, H.; Gómez-Aguilar, J. F. 12 2019 On the dynamics of fractional maps with power-law, exponential decay and Mittag-Leffler memory. Zbl 1448.34086 Ávalos-Ruiz, L. F.; Gómez-Aguilar, J. F.; Atangana, A.; Owolabi, Kolade M. 10 2019 On a more general fractional integration by parts formulae and applications. Zbl 1527.26004 Abdeljawad, Thabet; Atangana, Abdon; Gómez-Aguilar, J. F.; Jarad, Fahd 10 2019 Fractional Kuramoto-Sivashinsky equation with power law and stretched Mittag-Leffler kernel. Zbl 07568251 Taneco-Hernández, M. A.; Morales-Delgado, V. F.; Gómez-Aguilar, J. F. 7 2019 A novel method to solve variable-order fractional delay differential equations based in Lagrange interpolations. Zbl 1448.65060 Zúñiga-Aguilar, C. J.; Gómez-Aguilar, J. F.; Escobar-Jiménez, R. F.; Romero-Ugalde, H. M. 6 2019 Dual fractional analysis of blood alcohol model via non-integer order derivatives. Zbl 1444.92036 Abro, Kashif Ali; Gómez-Aguilar, J. F. 4 2019 Fundamental solutions of the fractional Fresnel equation in the real half-line. Zbl 1514.35472 Taneco-Hernández, M. A.; Morales-Delgado, V. F.; Gómez-Aguilar, J. F. 2 2019 Synchronization patterns with strong memory adaptive control in networks of coupled neurons with chimera states dynamics. Zbl 1483.93308 Vázquez-Guerrero, P.; Gómez-Aguilar, J. F.; Santamaria, F.; Escobar-Jiménez, R. F. 2 2019 RETRACTED: Power and exponentials laws: theory and application. Zbl 1423.26011 Gómez-Aguilar, J. F.; Atangana, Abdon 2 2019 A new class of conformable spectral observers for signal reconstruction. Zbl 1431.92099 Solís-Pérez, Jesús Emmanuel; Gómez-Aguilar, José Francisco; Torres, Lizeth; Escobar-Jiménez, Ricardo Fabricio; Reyes-Reyes, Juan 1 2019 On the new fractional operator and application to nonlinear Bloch system. Zbl 1429.34013 Gómez-Aguilar, J. F.; Ghanbari, Behzad; Bonyah, Ebenezer 1 2019 Parameter estimation of fractional Gompertz model using cuckoo search algorithm. Zbl 1444.92123 Solís-Pérez, J. E.; Gómez-Aguilar, J. F.; Escobar-Jiménez, R. F.; Torres, L.; Olivares-Peregrino, V. H. 1 2019 Model of coupled system of fractional reaction-diffusion within a new fractional derivative without singular kernel. Zbl 1437.35695 Saad, K. M.; Gómez-Aguilar, J. F.; Atangana, A.; Escobar-Jiménez, R. F. 1 2019 Fractional derivatives with no-index law property: application to chaos and statistics. Zbl 1415.34010 Atangana, Abdon; Gómez-Aguilar, J. F. 118 2018 Numerical approximation of Riemann-Liouville definition of fractional derivative: from Riemann-Liouville to Atangana-Baleanu. Zbl 1417.65113 Atangana, Abdon; Gómez-aguilar, J. F. 90 2018 Analysis of reaction-diffusion system via a new fractional derivative with non-singular kernel. Zbl 1514.35469 Saad, Khaled M.; Gómez-Aguilar, J. F. 38 2018 Modeling the dynamics of nutrient-phytoplankton-zooplankton system with variable-order fractional derivatives. Zbl 1442.92128 Ghanbari, Behzad; Gómez-Aguilar, J. F. 38 2018 Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler laws. Zbl 1415.65148 Solís-Pérez, J. E.; Gómez-Aguilar, J. F.; Atangana, A. 37 2018 Analytical and numerical solutions of a nonlinear alcoholism model via variable-order fractional differential equations. Zbl 1514.92041 Gómez-Aguilar, J. F. 33 2018 A numerical solution for a variable-order reaction-diffusion model by using fractional derivatives with non-local and non-singular kernel. Zbl 1514.65100 Coronel-Escamilla, A.; Gómez-Aguilar, J. F.; Torres, L.; Escobar-Jiménez, R. F. 30 2018 Stability analysis and optimal control of a fractional human African trypanosomiasis model. Zbl 1442.92155 Bonyah, Ebenezer; Gómez-Aguilar, J. F.; Adu, Augustina 18 2018 Chaos in a nonlinear Bloch system with Atangana-Baleanu fractional derivatives. Zbl 1407.78028 Gómez-Aguilar, J. F. 17 2018 On the solutions of fractional-time wave equation with memory effect involving operators with regular kernel. Zbl 1416.35289 Cuahutenango-Barro, B.; Taneco-Hernández, M. A.; Gómez-Aguilar, J. F. 17 2018 On the trajectory tracking control for an SCARA robot manipulator in a fractional model driven by induction motors with PSO tuning. Zbl 1407.70014 Coronel-Escamilla, A.; Torres, F.; Gómez-Aguilar, J. F.; Escobar-Jiménez, R. F.; Guerrero-Ramírez, G. V. 16 2018 First integral method for non-linear differential equations with conformable derivative. Zbl 1458.35463 Yépez-Martínez, H.; Gómez-Aguilar, J. F.; Atangana, Abdon 16 2018 ...and 34 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,080 Authors 83 Băleanu, Dumitru I. 67 Gómez-Aguilar, José Francisco 52 Abdeljawad, Thabet 48 Atangana, Abdon 32 Owolabi, Kolade Matthew 29 Khan, Aziz Ullah 29 Shah, Kamal 27 Rezapour, Shahram 23 Kumar, Sunil 22 Saad, Khaled Mohammed 21 Khan, Hasib 21 Raja, Muhammad Asif Zahoor 20 Khan, Muhammad Altaf 18 Akgül, Ali 17 Sabir, Zulqurnain 17 Sooppy Nisar, Kottakkaran 16 Jahanshahi, Hadi 16 Kumam, Poom 16 Kumar, Devendra 15 Inc, Mustafa 15 Singh, Jagdev 14 Etemad, Sina 14 Ghanbari, Behzad 13 Alzabut, Jehad O. 13 Chu, Yuming 13 Escobar-Jiménez, Ricardo Fabricio 13 Jarad, Fahd 13 Srivastava, Hari Mohan 12 Abdo, Mohammed Salem 12 Heydari, Mohammad Hossein 12 Khater, Mostafa M. A. 11 Arfan, Muhammad 11 Doungmo Goufo, Emile Franc 11 Khan, Ilyas 11 Kumar, Anoop Kumar 10 Baskonus, Haci Mehmet 10 Jajarmi, Amin 10 Momani, Shaher M. 10 ur Rahman, Mati 10 Yusuf, Abdullahi A. 9 Bonyah, Ebenezer 9 Guo, Youming 9 Karaca, Yeliz 9 Khader, Mohamed M. 9 Li, Tingting 9 Salahshour, Soheil 8 Agarwal, Praveen 8 Aly, Ayman A. 8 Arqub, Omar Abu 8 Bekiros, Stelios D. 8 Chauhan, Ram P. 8 Osman, Mohamed Sayed Ali 8 Sene, Ndolane 8 Wang, Bo 8 Wang, Kangle 7 Abdel-Aty, Abdel-Haleem 7 Alkahtani, Badr Saad T. 7 Alqudah, Manar A. 7 Alzahrani, Ebraheem O. 7 Attia, Raghda A. M. 7 Cao, Jinde 7 Coronel-Escamilla, Antonio 7 Dubey, Ved Prakash 7 Hammouch, Zakia 7 Qureshi, Sania 7 Rashid, Saima 7 Samei, Mohammad Esmael 7 Shoaib, Muhammad 7 Sweilam, Nasser Hassan 7 Yavuz, Mehmet E. 6 Abro, Kashif Ali 6 Ahmadian, Ali 6 Al-Mekhlafi, Seham Mahyoub 6 Almalahi, Mohammed A. 6 Alrabaiah, Hussam 6 Bedi, Pallavi 6 Dutta, Hemen 6 Jan, Rashid 6 Lu, Dianchen 6 Maayah, Banan 6 Nguyen Huy Tuan 6 Özdemir, Necati 6 Ravichandran, Chokkalingam 6 Shah, Zahir 6 Souid, Mohammed Said 6 Ullah, Aman 6 Ullah, Saif 6 Yépez-Martínez, Huitzilin 5 Ahmad, Shabir 5 Al-Mdallal, Qasem M. 5 Alshomrani, Ali Saleh 5 Alzaid, Sara Salem 5 Bahaa, Gaber Mohamed 5 Boulaaras, Salah Mahmoud 5 Deniz, Sinan 5 Devi, Amita 5 Fernández-Anaya, Guillermo 5 García Guirao, Juan Luis 5 Khumalo, Melusi 5 Koca, Ilknur ...and 1,980 more Authors all top 5 Cited in 171 Serials 192 Chaos, Solitons and Fractals 128 Advances in Difference Equations 106 Fractals 56 Physica A 43 Mathematical Methods in the Applied Sciences 32 Discrete and Continuous Dynamical Systems. Series S 30 International Journal of Applied and Computational Mathematics 26 Numerical Methods for Partial Differential Equations 26 Journal of Function Spaces 25 AIMS Mathematics 21 Mathematics and Computers in Simulation 21 Chaos 21 International Journal of Biomathematics 20 Communications in Nonlinear Science and Numerical Simulation 18 Computational and Applied Mathematics 17 Applied Mathematics and Computation 16 Mathematical Modelling of Natural Phenomena 15 Journal of Computational and Applied Mathematics 15 Journal of Applied Mathematics and Computing 14 Qualitative Theory of Dynamical Systems 13 Advances in Mathematical Physics 12 Applied Numerical Mathematics 11 Journal of Inequalities and Applications 10 Discrete Dynamics in Nature and Society 10 Mathematical Biosciences and Engineering 9 Journal of the Franklin Institute 8 Demonstratio Mathematica 8 Boundary Value Problems 8 Journal of Mathematical Extension 7 Mathematical Problems in Engineering 7 Multibody System Dynamics 6 Mathematical Sciences 5 Applied Mathematical Modelling 5 International Journal of Computer Mathematics 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Complexity 5 Nonlinear Dynamics 5 International Journal of Nonlinear Sciences and Numerical Simulation 5 Discrete and Continuous Dynamical Systems. Series B 5 Waves in Random and Complex Media 5 Communications in Theoretical Physics 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 International Journal of Modern Physics B 4 Journal of Optimization Theory and Applications 4 Journal of Biological Systems 4 International Journal of Differential Equations 4 Journal of Mathematics 4 Computational Methods for Differential Equations 4 Open Mathematics 4 Electronic Research Archive 3 Computers & Mathematics with Applications 3 Journal of Mathematical Analysis and Applications 3 Circuits, Systems, and Signal Processing 3 Neural Networks 3 Turkish Journal of Mathematics 3 European Journal of Control 3 Journal of Applied Mathematics 3 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 3 Applications and Applied Mathematics 3 Journal of Nonlinear Science and Applications 3 Palestine Journal of Mathematics 3 Evolution Equations and Control Theory 3 Journal of Applied Nonlinear Dynamics 3 International Journal of Systems Science. Principles and Applications of Systems and Integration 3 Communications on Applied Mathematics and Computation 2 Acta Mechanica 2 Physics Letters. A 2 Rocky Mountain Journal of Mathematics 2 Bulletin of Mathematical Biology 2 Fuzzy Sets and Systems 2 Information Sciences 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Journal of Scientific Computing 2 Russian Journal of Mathematical Physics 2 Filomat 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Soft Computing 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Fractional Calculus & Applied Analysis 2 Nonlinear Analysis. Real World Applications 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Journal of Statistical Mechanics: Theory and Experiment 2 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 2 Networks and Heterogeneous Media 2 Asian-European Journal of Mathematics 2 Journal of Pseudo-Differential Operators and Applications 2 Journal of Applied Analysis and Computation 2 Fractional Differential Calculus 2 Journal of Mathematical Modeling 2 Applied Mathematics and Nonlinear Sciences 2 Results in Applied Mathematics 2 Advances in Continuous and Discrete Models 1 Computer Physics Communications 1 Journal of Computational Physics 1 Mathematical Biosciences 1 Physics Reports 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematica Slovaca ...and 71 more Serials all top 5 Cited in 46 Fields 560 Ordinary differential equations (34-XX) 435 Real functions (26-XX) 370 Partial differential equations (35-XX) 351 Numerical analysis (65-XX) 336 Biology and other natural sciences (92-XX) 93 Systems theory; control (93-XX) 83 Operator theory (47-XX) 74 Dynamical systems and ergodic theory (37-XX) 63 Calculus of variations and optimal control; optimization (49-XX) 54 Integral equations (45-XX) 54 Fluid mechanics (76-XX) 51 Statistical mechanics, structure of matter (82-XX) 42 Special functions (33-XX) 35 Difference and functional equations (39-XX) 35 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 34 Integral transforms, operational calculus (44-XX) 33 Computer science (68-XX) 29 Probability theory and stochastic processes (60-XX) 28 Mechanics of deformable solids (74-XX) 23 Information and communication theory, circuits (94-XX) 21 Optics, electromagnetic theory (78-XX) 19 Mechanics of particles and systems (70-XX) 18 Measure and integration (28-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 15 Approximations and expansions (41-XX) 14 Classical thermodynamics, heat transfer (80-XX) 14 Operations research, mathematical programming (90-XX) 11 Geophysics (86-XX) 6 Functional analysis (46-XX) 6 Quantum theory (81-XX) 5 General topology (54-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Statistics (62-XX) 3 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Relativity and gravitational theory (83-XX) 2 Mathematical logic and foundations (03-XX) 2 Number theory (11-XX) 2 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-XX) 2 Differential geometry (53-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Mathematics education (97-XX) Citations by Year