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, José Francisco Gómez; Gomez Aguilar, Jose Francisco; Aguilar, J. F. Gómez; Gomez-Aguilar, J. F.; Gómez-aguilar, J. F.; Gómez Aguilar, J. F.; Gomez-Aguilar, Jose Francisco; Gómez-Aguilar, Jose Francisco; Gómez Aguilar, José Francisco; Aguilar, J. F. more...less External Links: ORCID · Google Scholar · ResearchGate · dblp Documents Indexed: 142 Publications since 1971 3 Contributions as Editor Co-Authors: 159 Co-Authors with 127 Joint Publications 4,836 Co-Co-Authors all top 5 Co-Authors 9 single-authored 27 Escobar-Jiménez, Ricardo Fabricio 17 Atangana, Abdon 12 Khan, Aziz 11 Yépez-Martínez, Huitzilin 10 Băleanu, Dumitru I. 10 Khan, Hasib 10 Morales-Delgado, Victor Fabian 9 Olivares-Peregrino, Victor Hugo 9 Solís-Pérez, Jesús Emmanuel 8 Saad, Khaled Mohammed 8 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 4 Alsaadi, Fawaz E. 4 Bonyah, Ebenezer 4 Calderón-Ramón, Celia 4 Cordova Fraga, Teodoro 4 Ghanbari, Behzad 4 López-López, M. G. 4 Raja, Muhammad Asif Zahoor 4 Romero Ugalde, Hector Manuel 4 Sabir, Zulqurnain 4 Torres-Jimenez, Jose 4 Zúñiga-Aguilar, C. J. 3 Alassafi, Madini Obad 3 Escalante-Martínez, Jesús Enrique 3 Guerrero-Ramírez, G. V. 3 Lavín-Delgado, J. E. 3 Reyes-Reyes, Juan 3 Santamaria, Fidel 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 Chen, Shubo 2 Colina-Morles, Eliezer 2 Hristov, Jordan Yankov 2 Hussain, Takasar 2 Khan, Tahir Saeed 2 Kumar, Sachin 2 Okosun, Kazeem Oare 2 Osman, Mohamed Sayed Ali 2 Ozair, Muhammad 2 Padilla-Longoria, Pablo 2 Pandey, Prashant K. 2 Reyes, Juan Manuel 2 Shoaib, Muhammad 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 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 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 Amin, Fazli 1 Arfan, Muhammad 1 Aslam, Adnan 1 Astorga-Zaragoza, Carlos-Manuel 1 Aydogan, Seher Melike 1 Bedi, Pallavi 1 Benavidez-Cruz, M. 1 Bosch, Paul J. 1 Boutarfa, Bariza 1 Carbot-Rojas, D. A. 1 Cattani, Carlo 1 Chávez-Vázquez, S. 1 Chien, Fengsheng 1 Colmenares, Alejandra Vicente 1 Combes, Jean-Michel 1 Cruz-Orduña, Ines 1 Cuahutenango-Barro, B. 1 Delgado-Reyes, G. 1 Dhayal, Rajesh 1 Dwivedi, Kushal Dhar 1 Elsayed, Elsayed Mohammed 1 Fernández-Anaya, Guillermo 1 García-Morales, J. ...and 70 more Co-Authors all top 5 Serials 34 Chaos, Solitons and Fractals 15 Physica A 14 Fractals 9 Mathematical Methods in the Applied Sciences 5 Advances in Difference Equations 4 Optimal Control Applications & Methods 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 Mathematics and Computers in Simulation 2 Revista Técnica de la Facultad de Ingenieria 2 Numerical Methods for Partial Differential Equations 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 Journal of Mathematical Biology 1 Mathematical Biosciences 1 Fuzzy Sets and Systems 1 The Journal of Mathematical Sociology 1 Programming and Computer Software 1 Applied Mathematical Modelling 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 64 Ordinary differential equations (34-XX) 42 Real functions (26-XX) 41 Numerical analysis (65-XX) 40 Biology and other natural sciences (92-XX) 36 Partial differential equations (35-XX) 13 Systems theory; control (93-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 11 Computer science (68-XX) 10 Statistical mechanics, structure of matter (82-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Integral transforms, operational calculus (44-XX) 5 Special functions (33-XX) 5 Mechanics of particles and systems (70-XX) 5 Optics, electromagnetic theory (78-XX) 5 Information and communication theory, circuits (94-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 3 Integral equations (45-XX) 3 Operator theory (47-XX) 3 Probability theory and stochastic processes (60-XX) 2 Measure and integration (28-XX) 2 Fluid mechanics (76-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 122 Publications have been cited 1,950 times in 1,070 Documents Cited by ▼ Year ▼ A class of analytic perturbations for one-body Schrödinger Hamiltonians. Zbl 0219.47011Aguilar, J.; Combes, J. M. 216 1971 Fractional derivatives with no-index law property: application to chaos and statistics. Zbl 1415.34010Atangana, Abdon; Gómez-Aguilar, J. F. 107 2018 Numerical approximation of Riemann-Liouville definition of fractional derivative: from Riemann-Liouville to Atangana-Baleanu. Zbl 1417.65113Atangana, Abdon; Gómez-aguilar, J. F. 82 2018 Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel. Zbl 1448.34046Khan, Aziz; Khan, Hasib; Gómez-Aguilar, J. F.; Abdeljawad, Thabet 63 2019 Modeling of a mass-spring-damper system by fractional derivatives with and without a singular kernel. Zbl 1338.70026Gómez-Aguilar, José Francisco; Yépez-Martínez, Huitzilin; Calderón-Ramón, Celia; Cruz-Orduña, Ines; Escobar-Jiménez, Ricardo Fabricio; Olivares-Peregrino, Victor Hugo 50 2015 Modeling diffusive transport with a fractional derivative without singular kernel. Zbl 1400.82237Gómez-Aguilar, J. F.; López-López, M. G.; Alvarado-Martínez, V. M.; Reyes-Reyes, J.; Adam-Medina, M. 49 2016 Hyperchaotic behaviour obtained via a nonlocal operator with exponential decay and Mittag-Leffler laws. Zbl 1374.34296Atangana, Abdon; Gómez-Aguilar, J. F. 47 2017 Fractional Liénard type model of a pipeline within the fractional derivative without singular kernel. Zbl 1419.35208Gómez-Aguilar, J. F.; Torres, L.; Yépez-Martínez, H.; Baleanu, D.; Reyes, J. M.; Sosa, I. O. 42 2016 Stability analysis and numerical solutions of fractional order HIV/AIDS model. Zbl 1448.92307Khan, Aziz; Gómez-Aguilar, J. F.; Saeed Khan, Tahir; Khan, Hasib 41 2019 A fractional order HIV-TB coinfection model with nonsingular Mittag-Leffler law. Zbl 1452.92039Khan, Hasib; Gómez-Aguilar, J. F.; Alkhazzan, Abdulwasea; Khan, Aziz 41 2020 Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel. Zbl 1422.35165Gómez-Aguilar, J. F.; Yépez-Martínez, H.; Torres-Jiménez, J.; Córdova-Fraga, T.; Escobar-Jiménez, R. F.; Olivares-Peregrino, V. H. 37 2017 Space-time fractional diffusion equation using a derivative with nonsingular and regular kernel. Zbl 1400.82228Gómez-Aguilar, J. F. 37 2017 A new derivative with normal distribution kernel: theory, methods and applications. Zbl 1495.35182Atangana, Abdon; Gómez-Aguilar, J. F. 37 2017 Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler laws. Zbl 1415.65148Solís-Pérez, J. E.; Gómez-Aguilar, J. F.; Atangana, A. 35 2018 Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular. Zbl 1419.35220Morales-Delgado, Victor Fabian; Gómez-Aguilar, José Francisco; Yépez-Martínez, Huitzilin; Baleanu, Dumitru; Escobar-Jimenez, Ricardo Fabricio; Olivares-Peregrino, Victor Hugo 35 2016 Numerical solutions of the fractional Fisher’s type equations with Atangana-Baleanu fractional derivative by using spectral collocation methods. Zbl 1409.35225Saad, K. M.; Khader, M. M.; Gómez-Aguilar, J. F.; Baleanu, Dumitru 35 2019 A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment. Zbl 1496.92034Kumar, Sunil; Kumar, Ajay; Samet, Bessem; Gómez-Aguilar, J. F.; Osman, M. S. 35 2020 Analysis of reaction-diffusion system via a new fractional derivative with non-singular kernel. Zbl 1514.35469Saad, Khaled M.; Gómez-Aguilar, J. F. 35 2018 A new modified definition of Caputo-fabrizio fractional-order derivative and their applications to the multi step homotopy analysis method (MHAM). Zbl 1402.26005Yépez-Martínez, H.; Gómez-Aguilar, J. F. 34 2019 Triple pendulum model involving fractional derivatives with different kernels. Zbl 1372.70049Coronel-Escamilla, A.; Gómez-Aguilar, J. F.; López-López, M. G.; Alvarado-Martínez, V. M.; Guerrero-Ramírez, G. V. 34 2016 Irving-Mullineux oscillator via fractional derivatives with Mittag-Leffler kernel. Zbl 1373.34116Gómez-Aguilar, J. F. 34 2017 Modeling the dynamics of nutrient-phytoplankton-zooplankton system with variable-order fractional derivatives. Zbl 1442.92128Ghanbari, Behzad; Gómez-Aguilar, J. F. 33 2018 Analytical and numerical solutions of electrical circuits described by fractional derivatives. Zbl 1480.94053Gómez-Aguilar, J. F.; Yépez-Martínez, H.; Escobar-Jiménez, R. F.; Astorga-Zaragoza, C. M.; Reyes-Reyes, J. 32 2016 Analytic solution for oxygen diffusion from capillary to tissues involving external force effects: a fractional calculus approach. Zbl 07563353Morales-Delgado, V. F.; Gómez-Aguilar, J. F.; Saad, Khaled M.; Khan, Muhammad Altaf; Agarwal, P. 31 2019 Solving fractional differential equations of variable-order involving operators with Mittag-Leffler kernel using artificial neural networks. Zbl 1375.34110Zúñiga-Aguilar, C. J.; Romero-Ugalde, H. M.; Gómez-Aguilar, J. F.; Escobar-Jiménez, R. F.; Valtierra-Rodríguez, M. 29 2017 A dynamical model of asymptomatic carrier zika virus with optimal control strategies. Zbl 1430.92045Khan, M. A.; Shah, Syed Wasim; Ullah, Saif; Gómez-Aguilar, J. F. 29 2019 Dynamical study of fractional order mutualism parasitism food web module. Zbl 1483.92156Khan, Aziz; Abdeljawad, Thabet; Gómez-Aguilar, J. F.; Khan, Hasib 29 2020 Analytical and numerical solutions of a nonlinear alcoholism model via variable-order fractional differential equations. Zbl 1514.92041Gómez-Aguilar, J. F. 29 2018 A numerical solution for a variable-order reaction-diffusion model by using fractional derivatives with non-local and non-singular kernel. Zbl 1514.65100Coronel-Escamilla, A.; Gómez-Aguilar, J. F.; Torres, L.; Escobar-Jiménez, R. F. 28 2018 The effect of market confidence on a financial system from the perspective of fractional calculus: numerical investigation and circuit realization. Zbl 1495.91135Chen, Shu-Bo; Jahanshahi, Hadi; Alhadji Abba, Oumate; Solís-Pérez, J. E.; Bekiros, Stelios; Gómez-Aguilar, J. F.; Yousefpour, Amin; Chu, Yu-Ming 26 2020 Mathematical formulation of hepatitis B virus with optimal control analysis. Zbl 1425.92133Ullah, Saif; Khan, Muhammad Altaf; Gómez-Aguilar, J. F. 23 2019 Investigating a nonlinear dynamical model of COVID-19 disease under fuzzy Caputo, random and ABC fractional order derivative. Zbl 1495.92100Rahman, Mati ur; Arfan, Muhammad; Shah, Kamal; Gómez-Aguilar, J. F. 22 2020 On the co-infection of dengue fever and Zika virus. Zbl 1425.92179Bonyah, E.; Khan, M. A.; Okosun, K. O.; Gómez-aguilar, J. F. 20 2019 Analysis of fractal-fractional malaria transmission model. Zbl 1482.92097Gómez-Aguilar, J. F.; Córdova-Fraga, T.; Abdeljawad, Thabet; Khan, Aziz; Khan, Hasib 20 2020 Modeling and simulation of the fractional space-time diffusion equation. Zbl 1489.78003Gómez-Aguilar, J. F.; Miranda-Hernández, M.; López-López, M. G.; Alvarado-Martínez, V. M.; Baleanu, D. 20 2015 Stability analysis for fractional order advection-reaction diffusion system. Zbl 1514.35461Khan, Hasib; Gómez-Aguilar, J. F.; Khan, Aziz; Khan, Tahir Saeed 20 2019 On the variable-order fractional memristor oscillator: data security applications and synchronization using a type-2 fuzzy disturbance observer-based robust control. Zbl 1498.94070Li, Jun-Feng; Jahanshahi, Hadi; Kacar, Sezgin; Chu, Yu-Ming; Gómez-Aguilar, J. F.; Alotaibi, Naif D.; Alharbi, Khalid H. 20 2021 Analytical and numerical study of the DNA dynamics arising in oscillator-chain of Peyrard-Bishop model. Zbl 1490.92009Ali, Khalid K.; Cattani, Carlo; Gómez-Aguilar, J. F.; Baleanu, Dumitru; Osman, M. S. 19 2020 Modelling the effects of heavy alcohol consumption on the transmission dynamics of gonorrhea with optimal control. Zbl 1409.92228Bonyah, E.; Khan, M. A.; Okosun, K. O.; Gómez-Aguilar, J. F. 18 2019 A fractional quadratic autocatalysis associated with chemical clock reactions involving linear inhibition. Zbl 1444.92145Saad, Khaled M.; Srivastava, H. M.; Gómez-Aguilar, J. F. 18 2020 Synchronization of chaotic systems involving fractional operators of Liouville-Caputo type with variable-order. Zbl 1499.34298Coronel-Escamilla, A.; Gómez-Aguilar, J. F.; Torres, L.; Escobar-Jiménez, R. F.; Valtierra-Rodríguez, M. 18 2017 Chaos in a nonlinear Bloch system with Atangana-Baleanu fractional derivatives. Zbl 1407.78028Gómez-Aguilar, J. F. 17 2018 Stability analysis and optimal control of a fractional human African trypanosomiasis model. Zbl 1442.92155Bonyah, Ebenezer; Gómez-Aguilar, J. F.; Adu, Augustina 17 2018 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 1498.34175Xiong, Pei-Ying; Jahanshahi, Hadi; Alcaraz, Raúl; Chu, Yu-Ming; Gómez-Aguilar, J. F.; Alsaadi, Fawaz E. 17 2021 Analysis of two avian influenza epidemic models involving fractal-fractional derivatives with power and Mittag-Leffler memories. Zbl 1429.92098Ghanbari, Behzad; Gómez-Aguilar, J. F. 15 2019 On the solutions of fractional-time wave equation with memory effect involving operators with regular kernel. Zbl 1416.35289Cuahutenango-Barro, B.; Taneco-Hernández, M. A.; Gómez-Aguilar, J. F. 15 2018 Asymptomatic carriers in transmission dynamics of dengue with control interventions. Zbl 1467.92203Jan, Rashid; Khan, Muhammad Altaf; Gómez-Aguilar, J. F. 15 2020 On the trajectory tracking control for an SCARA robot manipulator in a fractional model driven by induction motors with PSO tuning. Zbl 1407.70014Coronel-Escamilla, A.; Torres, F.; Gómez-Aguilar, J. F.; Escobar-Jiménez, R. F.; Guerrero-Ramírez, G. V. 14 2018 Series solution for the time-fractional coupled mkdv equation using the homotopy analysis method. Zbl 1400.35066Gómez-Aguilar, J. F.; Yépez-Martínez, H.; Escobar-Jiménez, R. F.; Olivares-Peregrino, V. H.; Reyes, J. M.; Sosa, I. O. 14 2016 Neuro-swarm intelligent computing paradigm for nonlinear HIV infection model with CD4+ T-cells. Zbl 07428998Umar, Muhammad; Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Gómez Aguilar, J. F.; Amin, Fazli; Shoaib, Muhammad 14 2021 Existence results and stability criteria for ABC-fuzzy-Volterra integro-differential equation. Zbl 1482.45005Khan, Hasib; Gomez-Aguilar, J. F.; Abdeljawad, Thabet; Khan, Aziz 14 2020 First integral method for non-linear differential equations with conformable derivative. Zbl 1458.35463Yépez-Martínez, H.; Gómez-Aguilar, J. F.; Atangana, Abdon 13 2018 FPGA implementation and control of chaotic systems involving the variable-order fractional operator with Mittag-Leffler law. Zbl 1416.93089Ávalos-Ruiz, L. F.; Zúñiga-Aguilar, C. J.; Gómez-Aguilar, J. F.; Escobar-Jiménez, R. F.; Romero-Ugalde, H. M. 13 2018 Approximate endpoint solutions for a class of fractional \(q\)-differential inclusions by computational results. Zbl 07468611Aydogan, S. M.; Aguilar, J. F. Gómez; Baleanu, D.; Rezapour, Sh.; Samei, M. E. 13 2020 Optimal control problems with Atangana-Baleanu fractional derivative. Zbl 1468.49022Tajadodi, Haleh; Khan, Aziz; Gómez-Aguilar, José Francisco; Khan, Hasib 13 2021 FMNEICS: fractional Meyer neuro-evolution-based intelligent computing solver for doubly singular multi-fractional order Lane-Emden system. Zbl 1476.65157Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Shoaib, Muhammad; Gómez Aguilar, J. F. 13 2020 Application of the Caputo-Fabrizio and Atangana-Baleanu fractional derivatives to mathematical model of cancer chemotherapy effect. Zbl 1419.92009Morales-Delgado, Victor Fabian; Gómez-Aguilar, José Francisco; Saad, Khaled; Escobar Jiménez, Ricardo Fabricio 12 2019 Formulation of Euler-Lagrange and Hamilton equations involving fractional operators with regular kernel. Zbl 1419.34014Coronel-Escamilla, Antonio; Gómez-Aguilar, José Francisco; Baleanu, Dumitru; Escobar-Jiménez, Ricardo Fabricio; Olivares-Peregrino, Victor Hugo; Abundez-Pliego, Arturo 12 2016 Investigation of a system of nonlinear fractional order hybrid differential equations under usual boundary conditions for existence of solution. Zbl 1471.34022Shah, Anwar; Khan, Rahmat Ali; Khan, Aziz; Khan, Hasib; Gómez-Aguilar, José Francisco 12 2021 Chaos and multiple attractors in a fractal-fractional Shinriki’s oscillator model. Zbl 07572431Gómez-Aguilar, J. F. 12 2020 A mathematical model of circadian rhythms synchronization using fractional differential equations system of coupled van der Pol oscillators. Zbl 1378.35322Escalante-Martínez, J. E.; Gómez-Aguilar, J. F.; Calderón-Ramón, C.; Aguilar-Meléndez, A.; Padilla-Longoria, P. 11 2018 Nonlocal transport processes and the fractional Cattaneo-Vernotte equation. Zbl 1400.35215Aguilar, J. F. Gómez; Córdova-Fraga, T.; Tórres-Jiménez, J.; Escobar-Jiménez, R. F.; Olivares-Peregrino, V. H.; Guerrero-Ramírez, G. V. 11 2016 Fractional sub-equation method for Hirota-Satsuma-coupled KdV equation and coupled mKdV equation using the Atangana’s conformable derivative. Zbl 1505.35358Yépez-Martínez, H.; Gómez-Aguilar, J. F. 11 2019 Editorial: Fractional differential and integral operators with non-singular and non-local kernel with application to nonlinear dynamical systems. Zbl 1434.00041 10 2020 Fractional order neural networks for system identification. Zbl 1489.93024Zuñiga Aguilar, C. J.; Gómez-Aguilar, J. F.; Alvarado-Martínez, V. M.; Romero-Ugalde, Hector M. 10 2020 A fractional numerical study on a chronic hepatitis C virus infection model with immune response. Zbl 1490.92034Saad, Khaled M.; Gómez-Aguilar, J. F.; Almadiy, Abdulrhman A. 10 2020 Some new mathematical models of the fractional-order system of human immune against IAV infection. Zbl 1470.92088Srivastava, H. M.; Saad, Khaled M.; Gómez-Aguilar, J. F.; Almadiy, Abdulrhman A. 10 2020 New approximate analytical solutions for the nonlinear fractional Schrödinger equation with second-order spatio-temporal dispersion via double Laplace transform method. Zbl 1473.35508Kaabar, Mohammed K. A.; Martínez, Francisco; Gómez-Aguilar, José Francisco; Ghanbari, Behzad; Kaplan, Melike; Günerhan, Hatira 10 2021 Optimal control of nonlinear time-delay fractional differential equations with Dickson polynomials. Zbl 1481.49032Chen, Shu-Bo; Soradi-Zeid, Samaneh; Alipour, Maryam; Chu, Yu-Ming; Gómez-Aguilar, J. F.; Jahanshahi, Hadi 10 2021 Fractional conformable derivatives of Liouville-Caputo type with low-fractionality. Zbl 1514.26003Morales-Delgado, V. F.; Gómez-Aguilar, J. F.; Escobar-Jiménez, R. F.; Taneco-Hernández, M. A. 10 2018 Mathematical modeling of the smoking dynamics using fractional differential equations with local and nonlocal kernel. Zbl 1438.92034Morales-Delgado, V. F.; Gómez-Aguilar, J. F.; Taneco-Hernández, M. A.; Escobar-Jiménez, R. F.; Olivares-Peregrino, V. H. 9 2018 Numerical and analytical solutions of nonlinear differential equations involving fractional operators with power and Mittag-Leffler kernel. Zbl 1462.34022Yépez-Martínez, H.; Gómez-Aguilar, J. F. 9 2018 Modelling, analysis and simulations of some chaotic systems using derivative with Mittag-Leffler kernel. Zbl 1448.34023Owolabi, Kolade M.; Gómez-Aguilar, J. F.; Karaagac, Berat 9 2019 On the dynamics of fractional maps with power-law, exponential decay and Mittag-Leffler memory. Zbl 1448.34086Ávalos-Ruiz, L. F.; Gómez-Aguilar, J. F.; Atangana, A.; Owolabi, Kolade M. 9 2019 Solutions of a disease model with fractional white noise. Zbl 1489.92132Akinlar, M. A.; Inc, Mustafa; Gómez-Aguilar, J. F.; Boutarfa, B. 9 2020 On a more general fractional integration by parts formulae and applications. Zbl 07571500Abdeljawad, Thabet; Atangana, Abdon; Gómez-Aguilar, J. F.; Jarad, Fahd 9 2019 A fractional mathematical model of breast cancer competition model. Zbl 1448.92105Solís-Pérez, J. E.; Gómez-Aguilar, J. F.; Atangana, A. 8 2019 Tracking control and stabilization of a fractional financial risk system using novel active finite-time fault-tolerant controls. Zbl 1482.91215Wang, Bo; Jahanshahi, Hadi; Bekiros, Stelios; Chu, Yu-Ming; Gómez-Aguilar, J. F.; Alsaadi, Fawaz E.; Alassafi, Madini O. 7 2021 Space-time fractional diffusion-advection equation with Caputo derivative. Zbl 1472.35283Aguilar, José Francisco Gómez; Hernández, Margarita Miranda 6 2014 A novel method to solve variable-order fractional delay differential equations based in Lagrange interpolations. Zbl 1448.65060Zúñiga-Aguilar, C. J.; Gómez-Aguilar, J. F.; Escobar-Jiménez, R. F.; Romero-Ugalde, H. M. 6 2019 Optical solitons solution of resonance nonlinear Schrödinger type equation with Atangana’s-conformable derivative using sub-equation method. Zbl 07671621Yépez-Martínez, H.; Gómez-Aguilar, J. F. 6 2021 Numerical simulations of multilingual competition dynamics with nonlocal derivative. Zbl 1442.91080Owolabi, Kolade M.; Gómez-Aguilar, J. F. 6 2018 Synchronized bioluminescence behavior of a set of fireflies involving fractional operators of Liouville-Caputo type. Zbl 1388.35195Escalante-Martínez, J. E.; Gómez-Aguilar, J. F.; Calderón-Ramón, C.; Aguilar-Meléndez, A.; Padilla-Longoria, P. 5 2018 Fractional order Volterra integro-differential equation with Mittag-Leffler kernel. Zbl 1482.65238Khan, Hasib; Abdeljawad, Thabet; Gómez-Aguilar, J. F.; Tajadodi, Haleh; Khan, Aziz 5 2021 Analysis of dengue fever outbreak by generalized fractional derivative. Zbl 1500.34036Bosch, Paul; Gómez-Aguilar, J. F.; Rodríguez, José M.; Sigarreta, José M. 5 2020 Dynamical aspects of pine wilt disease and control measures. Zbl 1498.92124Hussain, Takasar; Aslam, Adnan; Ozair, Muhammad; Tasneem, Fatima; Gómez-Aguilar, J. F. 5 2021 Fractional Kuramoto-Sivashinsky equation with power law and stretched Mittag-Leffler kernel. Zbl 07568251Taneco-Hernández, M. A.; Morales-Delgado, V. F.; Gómez-Aguilar, J. F. 5 2019 A predator-prey model involving variable-order fractional differential equations with Mittag-Leffler kernel. Zbl 1494.92100Khan, Aziz; Alshehri, Hashim M.; Gómez-Aguilar, J. F.; Khan, Zareen A.; Fernández-Anaya, G. 5 2021 Fractional conformable attractors with low fractality. Zbl 1516.35472Morales-Delgado, V. F.; Gómez-Aguilar, J. F.; Escobar-Jiménez, R. F. 4 2018 Numerical solutions for the reaction-diffusion, diffusion-wave, and Cattaneo equations using a new operational matrix for the Caputo-Fabrizio derivative. Zbl 1459.65199Kumar, Sachin; Aguilar, José Francisco Gómez; Pandey, Prashant 4 2020 New bilingualism model based on fractional operators with Mittag-Leffler kernel. Zbl 1417.91425Gomez-Aguilar, J. F. 4 2017 Adaptive random fuzzy cognitive maps. Zbl 1036.68522Aguilar, Jose 4 2002 Mild solutions of coupled hybrid fractional order system with Caputo-Hadamard derivatives. Zbl 1517.34084Bedi, Pallavi; Kumar, Anoop; Abdeljawad, Thabet; Khan, Aziz; Gómez-Aguilar, J. F. 4 2021 New chaotic attractors: application of fractal-fractional differentiation and integration. Zbl 1481.34055Gómez-Aguilar, J. F.; Atangana, Abdon 4 2021 Design of a high-gain observer for the synchronization of chimera states in neurons coupled with fractional dynamics. Zbl 07572423Vázquez-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 1440.65066Coronel-Escamilla, Antonio; Gómez-Aguilar, José Francisco 3 2020 Dual fractional analysis of blood alcohol model via non-integer order derivatives. Zbl 1444.92036Abro, Kashif Ali; Gómez-Aguilar, J. F. 3 2019 Chaos in a three-cell population cancer model with variable-order fractional derivative with power, exponential and Mittag-Leffler memories. Zbl 1495.92030Kachia, Krunal; Solís-Pérez, J. E.; Gómez-Aguilar, J. F. 3 2020 Gudermannian neural networks to investigate the Liénard differential model. Zbl 07537366Wang, Bo; Wang, Ye; Gómez-Aguilar, J. F.; Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Jahanshahi, Hadi; Alassafi, Madini O.; Alsaadi, Fawaz E. 3 2022 Equivalent circuits applied in electrochemical impedance spectroscopy and fractional derivatives with and without singular kernel. Zbl 1348.78021Gómez-Aguilar, J. F.; Escalante-Martínez, J. E.; Calderón-Ramón, C.; Morales-Mendoza, L. J.; Benavidez-Cruz, M.; Gonzalez-Lee, M. 2 2016 Assessment of the performance of the hyperbolic-NILT method to solve fractional differential equations. Zbl 07700829González-Calderón, Alfredo; Vivas-Cruz, Luis X.; Taneco-Hernández, M. A.; Gómez-Aguilar, J. F. 2 2023 Gudermannian neural networks to investigate the Liénard differential model. Zbl 07537366Wang, 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 07578007Wang, Bo; Gómez-Aguilar, J. F.; Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Xia, Wei-Feng; Jahanshahi, Hadi; Alassafi, Madini O.; Alsaadi, Fawaz E. 2 2022 Dynamical aspects of a delayed epidemic model with subdivision of susceptible population and control strategies. Zbl 1504.92168Zhang, Zizhen; ur Rahman, Ghaus; Gómez-Aguilar, J. F.; Torres-Jiménez, J. 1 2022 Stability analysis of Atangana-Baleanu fractional stochastic differential systems with impulses. Zbl 07697996Dhayal, Rajesh; Gómez-Aguilar, J. F.; Torres-Jiménez, J. 1 2022 On the variable-order fractional memristor oscillator: data security applications and synchronization using a type-2 fuzzy disturbance observer-based robust control. Zbl 1498.94070Li, Jun-Feng; Jahanshahi, Hadi; Kacar, Sezgin; Chu, Yu-Ming; Gómez-Aguilar, J. F.; Alotaibi, Naif D.; Alharbi, Khalid H. 20 2021 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 1498.34175Xiong, Pei-Ying; Jahanshahi, Hadi; Alcaraz, Raúl; Chu, Yu-Ming; Gómez-Aguilar, J. F.; Alsaadi, Fawaz E. 17 2021 Neuro-swarm intelligent computing paradigm for nonlinear HIV infection model with CD4+ T-cells. Zbl 07428998Umar, Muhammad; Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Gómez Aguilar, J. F.; Amin, Fazli; Shoaib, Muhammad 14 2021 Optimal control problems with Atangana-Baleanu fractional derivative. Zbl 1468.49022Tajadodi, Haleh; Khan, Aziz; Gómez-Aguilar, José Francisco; Khan, Hasib 13 2021 Investigation of a system of nonlinear fractional order hybrid differential equations under usual boundary conditions for existence of solution. Zbl 1471.34022Shah, Anwar; Khan, Rahmat Ali; Khan, Aziz; Khan, Hasib; Gómez-Aguilar, José Francisco 12 2021 New approximate analytical solutions for the nonlinear fractional Schrödinger equation with second-order spatio-temporal dispersion via double Laplace transform method. Zbl 1473.35508Kaabar, Mohammed K. A.; Martínez, Francisco; Gómez-Aguilar, José Francisco; Ghanbari, Behzad; Kaplan, Melike; Günerhan, Hatira 10 2021 Optimal control of nonlinear time-delay fractional differential equations with Dickson polynomials. Zbl 1481.49032Chen, Shu-Bo; Soradi-Zeid, Samaneh; Alipour, Maryam; Chu, Yu-Ming; Gómez-Aguilar, J. F.; Jahanshahi, Hadi 10 2021 Tracking control and stabilization of a fractional financial risk system using novel active finite-time fault-tolerant controls. Zbl 1482.91215Wang, Bo; Jahanshahi, Hadi; Bekiros, Stelios; Chu, Yu-Ming; Gómez-Aguilar, J. F.; Alsaadi, Fawaz E.; Alassafi, Madini O. 7 2021 Optical solitons solution of resonance nonlinear Schrödinger type equation with Atangana’s-conformable derivative using sub-equation method. Zbl 07671621Yépez-Martínez, H.; Gómez-Aguilar, J. F. 6 2021 Fractional order Volterra integro-differential equation with Mittag-Leffler kernel. Zbl 1482.65238Khan, Hasib; Abdeljawad, Thabet; Gómez-Aguilar, J. F.; Tajadodi, Haleh; Khan, Aziz 5 2021 Dynamical aspects of pine wilt disease and control measures. Zbl 1498.92124Hussain, Takasar; Aslam, Adnan; Ozair, Muhammad; Tasneem, Fatima; Gómez-Aguilar, J. F. 5 2021 A predator-prey model involving variable-order fractional differential equations with Mittag-Leffler kernel. Zbl 1494.92100Khan, Aziz; Alshehri, Hashim M.; Gómez-Aguilar, J. F.; Khan, Zareen A.; Fernández-Anaya, G. 5 2021 Mild solutions of coupled hybrid fractional order system with Caputo-Hadamard derivatives. 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F. 22 2020 Analysis of fractal-fractional malaria transmission model. Zbl 1482.92097Gómez-Aguilar, J. F.; Córdova-Fraga, T.; Abdeljawad, Thabet; Khan, Aziz; Khan, Hasib 20 2020 Analytical and numerical study of the DNA dynamics arising in oscillator-chain of Peyrard-Bishop model. Zbl 1490.92009Ali, Khalid K.; Cattani, Carlo; Gómez-Aguilar, J. F.; Baleanu, Dumitru; Osman, M. S. 19 2020 A fractional quadratic autocatalysis associated with chemical clock reactions involving linear inhibition. Zbl 1444.92145Saad, Khaled M.; Srivastava, H. M.; Gómez-Aguilar, J. F. 18 2020 Asymptomatic carriers in transmission dynamics of dengue with control interventions. Zbl 1467.92203Jan, Rashid; Khan, Muhammad Altaf; Gómez-Aguilar, J. F. 15 2020 Existence results and stability criteria for ABC-fuzzy-Volterra integro-differential equation. Zbl 1482.45005Khan, Hasib; Gomez-Aguilar, J. F.; Abdeljawad, Thabet; Khan, Aziz 14 2020 Approximate endpoint solutions for a class of fractional \(q\)-differential inclusions by computational results. Zbl 07468611Aydogan, S. M.; Aguilar, J. F. Gómez; Baleanu, D.; Rezapour, Sh.; Samei, M. E. 13 2020 FMNEICS: fractional Meyer neuro-evolution-based intelligent computing solver for doubly singular multi-fractional order Lane-Emden system. Zbl 1476.65157Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Shoaib, Muhammad; Gómez Aguilar, J. F. 13 2020 Chaos and multiple attractors in a fractal-fractional Shinriki’s oscillator model. Zbl 07572431Gómez-Aguilar, J. F. 12 2020 Editorial: Fractional differential and integral operators with non-singular and non-local kernel with application to nonlinear dynamical systems. Zbl 1434.00041 10 2020 Fractional order neural networks for system identification. Zbl 1489.93024Zuñiga Aguilar, C. J.; Gómez-Aguilar, J. F.; Alvarado-Martínez, V. M.; Romero-Ugalde, Hector M. 10 2020 A fractional numerical study on a chronic hepatitis C virus infection model with immune response. Zbl 1490.92034Saad, Khaled M.; Gómez-Aguilar, J. F.; Almadiy, Abdulrhman A. 10 2020 Some new mathematical models of the fractional-order system of human immune against IAV infection. Zbl 1470.92088Srivastava, H. M.; Saad, Khaled M.; Gómez-Aguilar, J. F.; Almadiy, Abdulrhman A. 10 2020 Solutions of a disease model with fractional white noise. Zbl 1489.92132Akinlar, M. A.; Inc, Mustafa; Gómez-Aguilar, J. F.; Boutarfa, B. 9 2020 Analysis of dengue fever outbreak by generalized fractional derivative. Zbl 1500.34036Bosch, Paul; Gómez-Aguilar, J. F.; Rodríguez, José M.; Sigarreta, José M. 5 2020 Numerical solutions for the reaction-diffusion, diffusion-wave, and Cattaneo equations using a new operational matrix for the Caputo-Fabrizio derivative. Zbl 1459.65199Kumar, Sachin; Aguilar, José Francisco Gómez; Pandey, Prashant 4 2020 Design of a high-gain observer for the synchronization of chimera states in neurons coupled with fractional dynamics. Zbl 07572423Vázquez-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 1440.65066Coronel-Escamilla, Antonio; Gómez-Aguilar, José Francisco 3 2020 Chaos in a three-cell population cancer model with variable-order fractional derivative with power, exponential and Mittag-Leffler memories. Zbl 1495.92030Kachia, Krunal; Solís-Pérez, J. E.; Gómez-Aguilar, J. F. 3 2020 Fractional-order passivity-based adaptive controller for a robot manipulator type scara. Zbl 1482.93311Lavín-Delgado, J. E.; Chávez-Vázquez, S.; Gómez-Aguilar, J. F.; Delgado-Reyes, G.; Ruíz-Jaimes, M. A. 2 2020 Mathematical modeling approach to the fractional Bergman’s model. Zbl 1442.34084Morales-Delgado, Victor Fabian; Gómez-Aguilar, José Francisco; Taneco-Hernández, Marco Antonio 1 2020 A transform based local RBF method for 2D linear PDE with Caputo-Fabrizio derivative. Zbl 1453.35178Kamran; Ali, Amjad; Gómez-Aguilar, José Francisco 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 07468629Kumar, Sachin; Pandey, Prashant; Gómez-Aguilar, J. F.; Baleanu, D. 1 2020 Fractional order controllers increase the robustness of closed-loop deep brain stimulation systems. Zbl 1495.92019Coronel-Escamilla, Antonio; Gomez-Aguilar, Jose Francisco; Stamova, Ivanka; Santamaria, Fidel 1 2020 Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel. Zbl 1448.34046Khan, Aziz; Khan, Hasib; Gómez-Aguilar, J. F.; Abdeljawad, Thabet 63 2019 Stability analysis and numerical solutions of fractional order HIV/AIDS model. Zbl 1448.92307Khan, Aziz; Gómez-Aguilar, J. F.; Saeed Khan, Tahir; Khan, Hasib 41 2019 Numerical solutions of the fractional Fisher’s type equations with Atangana-Baleanu fractional derivative by using spectral collocation methods. Zbl 1409.35225Saad, K. M.; Khader, M. M.; Gómez-Aguilar, J. F.; Baleanu, Dumitru 35 2019 A new modified definition of Caputo-fabrizio fractional-order derivative and their applications to the multi step homotopy analysis method (MHAM). Zbl 1402.26005Yépez-Martínez, H.; Gómez-Aguilar, J. F. 34 2019 Analytic solution for oxygen diffusion from capillary to tissues involving external force effects: a fractional calculus approach. Zbl 07563353Morales-Delgado, V. F.; Gómez-Aguilar, J. 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F. 18 2019 Analysis of two avian influenza epidemic models involving fractal-fractional derivatives with power and Mittag-Leffler memories. Zbl 1429.92098Ghanbari, Behzad; Gómez-Aguilar, J. F. 15 2019 Application of the Caputo-Fabrizio and Atangana-Baleanu fractional derivatives to mathematical model of cancer chemotherapy effect. Zbl 1419.92009Morales-Delgado, Victor Fabian; Gómez-Aguilar, José Francisco; Saad, Khaled; Escobar Jiménez, Ricardo Fabricio 12 2019 Fractional sub-equation method for Hirota-Satsuma-coupled KdV equation and coupled mKdV equation using the Atangana’s conformable derivative. Zbl 1505.35358Yépez-Martínez, H.; Gómez-Aguilar, J. F. 11 2019 Modelling, analysis and simulations of some chaotic systems using derivative with Mittag-Leffler kernel. Zbl 1448.34023Owolabi, Kolade M.; Gómez-Aguilar, J. F.; Karaagac, Berat 9 2019 On the dynamics of fractional maps with power-law, exponential decay and Mittag-Leffler memory. Zbl 1448.34086Ávalos-Ruiz, L. F.; Gómez-Aguilar, J. F.; Atangana, A.; Owolabi, Kolade M. 9 2019 On a more general fractional integration by parts formulae and applications. Zbl 07571500Abdeljawad, Thabet; Atangana, Abdon; Gómez-Aguilar, J. F.; Jarad, Fahd 9 2019 A fractional mathematical model of breast cancer competition model. Zbl 1448.92105Solís-Pérez, J. E.; Gómez-Aguilar, J. F.; Atangana, A. 8 2019 A novel method to solve variable-order fractional delay differential equations based in Lagrange interpolations. Zbl 1448.65060Zúñiga-Aguilar, C. J.; Gómez-Aguilar, J. F.; Escobar-Jiménez, R. F.; Romero-Ugalde, H. M. 6 2019 Fractional Kuramoto-Sivashinsky equation with power law and stretched Mittag-Leffler kernel. Zbl 07568251Taneco-Hernández, M. A.; Morales-Delgado, V. F.; Gómez-Aguilar, J. F. 5 2019 Dual fractional analysis of blood alcohol model via non-integer order derivatives. Zbl 1444.92036Abro, Kashif Ali; Gómez-Aguilar, J. F. 3 2019 RETRACTED: Power and exponentials laws: theory and application. Zbl 1423.26011Gómez-Aguilar, J. F.; Atangana, Abdon 2 2019 Synchronization patterns with strong memory adaptive control in networks of coupled neurons with chimera states dynamics. Zbl 1483.93308Vázquez-Guerrero, P.; Gómez-Aguilar, J. F.; Santamaria, F.; Escobar-Jiménez, R. F. 2 2019 Fundamental solutions of the fractional Fresnel equation in the real half-line. Zbl 1514.35472Taneco-Hernández, M. A.; Morales-Delgado, V. F.; Gómez-Aguilar, J. F. 2 2019 Model of coupled system of fractional reaction-diffusion within a new fractional derivative without singular kernel. Zbl 1437.35695Saad, K. M.; Gómez-Aguilar, J. F.; Atangana, A.; Escobar-Jiménez, R. F. 1 2019 A new class of conformable spectral observers for signal reconstruction. Zbl 1431.92099Solís-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 1429.34013Gómez-Aguilar, J. F.; Ghanbari, Behzad; Bonyah, Ebenezer 1 2019 Fractional derivatives with no-index law property: application to chaos and statistics. Zbl 1415.34010Atangana, Abdon; Gómez-Aguilar, J. F. 107 2018 Numerical approximation of Riemann-Liouville definition of fractional derivative: from Riemann-Liouville to Atangana-Baleanu. Zbl 1417.65113Atangana, Abdon; Gómez-aguilar, J. F. 82 2018 Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler laws. Zbl 1415.65148Solís-Pérez, J. E.; Gómez-Aguilar, J. F.; Atangana, A. 35 2018 Analysis of reaction-diffusion system via a new fractional derivative with non-singular kernel. Zbl 1514.35469Saad, Khaled M.; Gómez-Aguilar, J. F. 35 2018 Modeling the dynamics of nutrient-phytoplankton-zooplankton system with variable-order fractional derivatives. Zbl 1442.92128Ghanbari, Behzad; Gómez-Aguilar, J. F. 33 2018 Analytical and numerical solutions of a nonlinear alcoholism model via variable-order fractional differential equations. Zbl 1514.92041Gómez-Aguilar, J. F. 29 2018 A numerical solution for a variable-order reaction-diffusion model by using fractional derivatives with non-local and non-singular kernel. Zbl 1514.65100Coronel-Escamilla, A.; Gómez-Aguilar, J. F.; Torres, L.; Escobar-Jiménez, R. F. 28 2018 Chaos in a nonlinear Bloch system with Atangana-Baleanu fractional derivatives. Zbl 1407.78028Gómez-Aguilar, J. F. 17 2018 Stability analysis and optimal control of a fractional human African trypanosomiasis model. Zbl 1442.92155Bonyah, Ebenezer; Gómez-Aguilar, J. F.; Adu, Augustina 17 2018 On the solutions of fractional-time wave equation with memory effect involving operators with regular kernel. Zbl 1416.35289Cuahutenango-Barro, B.; Taneco-Hernández, M. A.; Gómez-Aguilar, J. F. 15 2018 On the trajectory tracking control for an SCARA robot manipulator in a fractional model driven by induction motors with PSO tuning. Zbl 1407.70014Coronel-Escamilla, A.; Torres, F.; Gómez-Aguilar, J. F.; Escobar-Jiménez, R. F.; Guerrero-Ramírez, G. V. 14 2018 First integral method for non-linear differential equations with conformable derivative. Zbl 1458.35463Yépez-Martínez, H.; Gómez-Aguilar, J. F.; Atangana, Abdon 13 2018 FPGA implementation and control of chaotic systems involving the variable-order fractional operator with Mittag-Leffler law. Zbl 1416.93089Ávalos-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 1378.35322Escalante-Martínez, J. E.; Gómez-Aguilar, J. F.; Calderón-Ramón, C.; Aguilar-Meléndez, A.; Padilla-Longoria, P. 11 2018 Fractional conformable derivatives of Liouville-Caputo type with low-fractionality. Zbl 1514.26003Morales-Delgado, V. F.; Gómez-Aguilar, J. F.; Escobar-Jiménez, R. F.; Taneco-Hernández, M. A. 10 2018 Mathematical modeling of the smoking dynamics using fractional differential equations with local and nonlocal kernel. Zbl 1438.92034Morales-Delgado, V. F.; Gómez-Aguilar, J. F.; Taneco-Hernández, M. A.; Escobar-Jiménez, R. F.; Olivares-Peregrino, V. H. 9 2018 Numerical and analytical solutions of nonlinear differential equations involving fractional operators with power and Mittag-Leffler kernel. Zbl 1462.34022Yépez-Martínez, H.; Gómez-Aguilar, J. F. 9 2018 Numerical simulations of multilingual competition dynamics with nonlocal derivative. Zbl 1442.91080Owolabi, Kolade M.; Gómez-Aguilar, J. F. 6 2018 Synchronized bioluminescence behavior of a set of fireflies involving fractional operators of Liouville-Caputo type. Zbl 1388.35195Escalante-Martínez, J. E.; Gómez-Aguilar, J. F.; Calderón-Ramón, C.; Aguilar-Meléndez, A.; Padilla-Longoria, P. 5 2018 Fractional conformable attractors with low fractality. Zbl 1516.35472Morales-Delgado, V. F.; Gómez-Aguilar, J. F.; Escobar-Jiménez, R. F. 4 2018 Hyperchaotic behaviour obtained via a nonlocal operator with exponential decay and Mittag-Leffler laws. Zbl 1374.34296Atangana, Abdon; Gómez-Aguilar, J. F. 47 2017 Homotopy perturbation transform method for nonlinear differential equations involving to fractional operator with exponential kernel. Zbl 1422.35165Gómez-Aguilar, J. F.; Yépez-Martínez, H.; Torres-Jiménez, J.; Córdova-Fraga, T.; Escobar-Jiménez, R. F.; Olivares-Peregrino, V. H. 37 2017 Space-time fractional diffusion equation using a derivative with nonsingular and regular kernel. Zbl 1400.82228Gómez-Aguilar, J. F. 37 2017 A new derivative with normal distribution kernel: theory, methods and applications. Zbl 1495.35182Atangana, Abdon; Gómez-Aguilar, J. F. 37 2017 ...and 22 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,795 Authors 77 Băleanu, Dumitru I. 60 Gómez-Aguilar, José Francisco 47 Abdeljawad, Thabet 45 Atangana, Abdon 31 Owolabi, Kolade Matthew 29 Khan, Aziz 26 Shah, Kamal 24 Rezapour, Shahram 22 Raja, Muhammad Asif Zahoor 20 Khan, Hasib 20 Khan, Muhammad Altaf 19 Saad, Khaled Mohammed 17 Sabir, Zulqurnain 15 Akgül, Ali 15 Jahanshahi, Hadi 15 Kumam, Poom 15 Kumar, Sunil 15 Sooppy Nisar, Kottakkaran 14 Inc, Mustafa 13 Chu, Yuming 13 Escobar-Jiménez, Ricardo Fabricio 13 Ghanbari, Behzad 13 Jarad, Fahd 13 Srivastava, Hari Mohan 12 Etemad, Sina 11 Alzabut, Jehad O. 11 Doungmo Goufo, Emile Franc 11 Heydari, Mohammad Hossien 11 Khan, Ilyas 11 Khater, Mostafa M. A. 11 Kumar, Anoop 10 Abdo, Mohammed Salem 10 Arfan, Muhammad 10 Kumar, Devendra 10 Singh, Jagdev 10 Yusuf, Abdullahi A. 9 Guo, Youming 9 Jajarmi, Amin 9 Karaca, Yeliz 9 Li, Tingting 9 Salahshour, Soheil 9 ur Rahman, Mati 8 Agarwal, Praveen 8 Aly, Ayman A. 8 Baskonus, Haci Mehmet 8 Bekiros, Stelios D. 8 Bonyah, Ebenezer 8 Momani, Shaher M. 8 Sene, Ndolane 8 Wang, Kangle 7 Alkahtani, Badr Saad T. 7 Alqudah, Manar A. 7 Alzahrani, Ebraheem O. 7 Attia, Raghda A. M. 7 Coronel-Escamilla, Antonio 7 Dubey, Ved Prakash 7 Hammouch, Zakia 7 Khader, Mohamed M. 7 Kumar, Sachin 7 Qureshi, Sania 7 Shoaib, Muhammad 7 Sweilam, Nasser Hassan 7 Wang, Bo 6 Al-Mekhlafi, Seham Mahyoub 6 Arqub, Omar Abu 6 Bedi, Pallavi 6 Chauhan, R. P. 6 Nguyen Huy Tuan 6 Rashid, Saima 6 Shah, Zahir 6 Souid, Mohammed Said 6 Ullah, Saif 6 Yavuz, Mehmet E. 6 Yépez-Martínez, Huitzilin 5 Abdel-Aty, Abdel-Haleem 5 Ahmadian, Ali 5 Almalahi, Mohammed A. 5 Alrabaiah, Hussam 5 Alshomrani, Ali Saleh 5 Alzaid, Sara Salem 5 Bahaa, Gaber Mohamed 5 Deniz, Sinan 5 Devi, Amita 5 Dutta, Hemen 5 García Guirao, Juan Luis 5 Jan, Rashid 5 Khumalo, Melusi 5 Koca, Ilknur 5 Kumar, Rajnesh 5 Lu, Dianchen 5 Maayah, Banan 5 Mohammad, Mutaz 5 O’Regan, Donal 5 Osman, Mohamed Sayed Ali 5 Özdemir, Necati 5 Panchal, Satish Kushaba 5 Ravichandran, Chokkalingam 5 Samei, Mohammad Esmael 5 Uçar, Sümeyra 5 Ullah, Aman ...and 1,695 more Authors all top 5 Cited in 144 Serials 189 Chaos, Solitons and Fractals 126 Advances in Difference Equations 106 Fractals 55 Physica A 32 Discrete and Continuous Dynamical Systems. Series S 30 International Journal of Applied and Computational Mathematics 25 AIMS Mathematics 24 Journal of Function Spaces 21 Chaos 20 International Journal of Biomathematics 19 Mathematics and Computers in Simulation 18 Communications in Nonlinear Science and Numerical Simulation 17 Applied Mathematics and Computation 16 Mathematical Modelling of Natural Phenomena 15 Journal of Computational and Applied Mathematics 14 Computational and Applied Mathematics 12 Applied Numerical Mathematics 11 Advances in Mathematical Physics 10 Discrete Dynamics in Nature and Society 10 Journal of Applied Mathematics and Computing 10 Mathematical Biosciences and Engineering 9 Journal of Inequalities and Applications 8 Boundary Value Problems 7 Journal of the Franklin Institute 7 Mathematical Problems in Engineering 7 Journal of Mathematical Extension 6 Demonstratio Mathematica 6 Qualitative Theory of Dynamical Systems 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Complexity 5 Multibody System Dynamics 5 Waves in Random and Complex Media 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 Applied Mathematical Modelling 4 International Journal of Computer Mathematics 4 International Journal of Differential Equations 4 Mathematical Sciences 4 Journal of Mathematics 4 Computational Methods for Differential Equations 4 Open Mathematics 3 Computers & Mathematics with Applications 3 Journal of Mathematical Analysis and Applications 3 Turkish Journal of Mathematics 3 European Journal of Control 3 Nonlinear Dynamics 3 Journal of Biological Systems 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Discrete and Continuous Dynamical Systems. Series B 3 Journal of Applied Mathematics 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 Communications on Applied Mathematics and Computation 3 Electronic Research Archive 2 Acta Mechanica 2 Mathematical Methods in the Applied Sciences 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Circuits, Systems, and Signal Processing 2 Russian Journal of Mathematical Physics 2 Filomat 2 Soft Computing 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 Asian-European Journal of Mathematics 2 Communications in Theoretical Physics 2 Journal of Applied Analysis and Computation 2 Fractional Differential Calculus 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 2 Applied Mathematics and Nonlinear Sciences 1 Journal of Computational Physics 1 Mathematical Biosciences 1 Physics Letters. A 1 Physics Reports 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Bulletin of Mathematical Biology 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematica Slovaca 1 Meccanica 1 Revista Colombiana de Matemáticas 1 Revista de la Unión Matemática Argentina 1 Bulletin of the Iranian Mathematical Society 1 Journal of Scientific Computing 1 The Journal of Geometric Analysis 1 Acta Mathematica Universitatis Comenianae. New Series 1 Numerical Algorithms 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 Archives of Control Sciences 1 Journal of Mathematical Sciences (New York) 1 Journal of the Egyptian Mathematical Society 1 Engineering Analysis with Boundary Elements 1 Journal of Difference Equations and Applications ...and 44 more Serials all top 5 Cited in 43 Fields 497 Ordinary differential equations (34-XX) 391 Real functions (26-XX) 323 Partial differential equations (35-XX) 300 Numerical analysis (65-XX) 284 Biology and other natural sciences (92-XX) 68 Dynamical systems and ergodic theory (37-XX) 68 Systems theory; control (93-XX) 67 Operator theory (47-XX) 54 Statistical mechanics, structure of matter (82-XX) 53 Calculus of variations and optimal control; optimization (49-XX) 48 Fluid mechanics (76-XX) 46 Integral equations (45-XX) 35 Special functions (33-XX) 32 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 28 Integral transforms, operational calculus (44-XX) 27 Difference and functional equations (39-XX) 25 Computer science (68-XX) 22 Mechanics of deformable solids (74-XX) 20 Probability theory and stochastic processes (60-XX) 19 Information and communication theory, circuits (94-XX) 18 Measure and integration (28-XX) 17 Optics, electromagnetic theory (78-XX) 14 Mechanics of particles and systems (70-XX) 13 Operations research, mathematical programming (90-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 11 Approximations and expansions (41-XX) 11 Geophysics (86-XX) 10 Classical thermodynamics, heat transfer (80-XX) 4 General topology (54-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Statistics (62-XX) 4 Quantum theory (81-XX) 3 Combinatorics (05-XX) 3 Functional analysis (46-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Sequences, series, summability (40-XX) 2 Relativity and gravitational theory (83-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Differential geometry (53-XX) Citations by Year