Edit Profile (opens in new tab) Băleanu, Dumitru I. Compute Distance To: Compute Author ID: baleanu.dumitru-i Published as: Baleanu, Dumitru; Baleanu, D.; Băleanu, Dumitru; Băleanu, D.; Baleanu, Dumitru I.; Băleanu, Dumitru I.; Baleanu, Dimitru; Bǎleanu, D. more...less Homepage: http://www.intechopen.com/profiles/105623/Dumitru-Baleanu External Links: arXiv · Google Scholar · ResearchGate · dblp · GND Documents Indexed: 947 Publications since 1990, including 5 Books 29 Contributions as Editor Co-Authors: 854 Co-Authors with 956 Joint Publications 14,401 Co-Co-Authors all top 5 Co-Authors 18 single-authored 45 Rezapour, Shahram 37 Inc, Mustafa 35 Wu, Guocheng 34 Abdeljawad, Thabet 30 Jafari, Hossein 29 Muslih, Sami I. 28 Sooppy Nisar, Kottakkaran 28 Yang, Xiao-Jun 26 Jarad, Fahd 26 Machado, José António Tenreiro 26 Salahshour, Soheil 24 Bhrawy, Ali Hassan 24 Golmankhaneh, Alireza Khalili 24 Yusuf, Abdullahi A. 23 Jajarmi, Amin 19 Agarwal, Ravi P. 19 Aliyu, Aliyu Isa 18 Kumar, Devendra 18 Singh, Jagdev 17 Doha, Eid H. 17 Rabei, Eqab M. 17 Srivastava, Hari Mohan 16 Arjunan, Mani Mallika 15 Mustafa, Octavian G. 14 Ahmadian, Ali 14 Chu, Yuming 14 Mohammadi, Hakimeh 14 Purohit, Sunil Dutt 13 Alshomrani, Ali Saleh 13 Golmankhaneh, Ali Khalili 13 Hajipour, Mojtaba 13 Taş, Kenan 12 Akgül, Ali 12 Khan, Hasib 12 Suganya, Selvaraj 11 Agarwal, Praveen 11 Alipour, Mohsen 11 Etemad, Sina 11 Fernandez, Arran 11 Nguyen Huy Tuan 11 O’Regan, Donal 10 Ahmed, Nauman 10 Can, Nguyen Huu 10 Gómez-Aguilar, José Francisco 10 Hosseini, Kamyar 10 Wang, Guotao 9 Ezz-Eldien, Samer S. 9 Ghaffar, Abdul 9 Hammouch, Zakia 9 Herzallah, Mohamed A. E. 9 Khan, Hassan Ali 9 Khan, Rahmat Ali 9 Rashid, Saima 9 Ugurlu, Ekin 9 Zeng, Shengda 8 Abbas, Muhammad Mohsin 8 Al-Omari, Shrideh Khalaf Qasem 8 Arshad, Sadia 8 Defterli, Ozlem 8 Güler, Yurdahan 8 Kadem, Abdelouahab 8 Khan, Aziz 8 Long, Le Dinh 8 Mirzazadeh, Mohammad 8 Mustafa, Ghulam 8 Rehman, Muhammad Aziz-Ur 8 Shiri, Babak 7 Abdelkawy, Mohamed A. 7 Agrawal, Om Prakash 7 Atangana, Abdon 7 Babakhani, Azizollah 7 Cattani, Carlo 7 Dinç, Erdal 7 Hafez, Ramy Mahmoud 7 Ibrahim, Rabha Waell 7 Jafarian, Ahmad 7 Karaca, Yeliz 7 Kumar, Sunil 7 Luc, Nguyen Hoang 7 Momani, Shaher M. 7 Nigmatullin, Raoul R. 7 Shah, Kamal 7 Trujillo, Juan J. 7 Zhang, Lihong 6 Agheli, Bahram 6 Al Qurashi, Maysaa’ Mohamed 6 Darzi, Rahmat 6 Dassios, Ioannis K. 6 Debbouche, Amar 6 Ghanbari, Behzad 6 Jaradat, Imad 6 Khater, Mostafa M. A. 6 Mohammed, Pshtiwan Othman 6 Osman, Mohamed Sayed Ali 6 Saad, Khaled Mohammed 6 Sajjadi, Samaneh Sadat 6 Saker, Samir H. 6 Shah, Rasool 6 Sweilam, Nasser Hassan 5 Al-Mekhlafi, Seham Mahyoub ...and 757 more Co-Authors all top 5 Serials 190 Advances in Difference Equations 56 Abstract and Applied Analysis 47 Mathematical Methods in the Applied Sciences 34 Chaos, Solitons and Fractals 31 Communications in Nonlinear Science and Numerical Simulation 31 AIMS Mathematics 24 Nonlinear Dynamics 23 Fractals 21 Applied Mathematics and Computation 20 Journal of Nonlinear Science and Applications 19 Journal of Inequalities and Applications 18 Romanian Journal of Physics 16 Journal of Vibration and Control 15 International Journal of Theoretical Physics 15 Physica A 15 Applied Numerical Mathematics 15 Chaos 15 Boundary Value Problems 14 Computers & Mathematics with Applications 13 Fractional Calculus & Applied Analysis 11 Czechoslovak Journal of Physics 10 Journal of Computational Analysis and Applications 10 Advances in Mathematical Physics 9 International Journal of Applied and Computational Mathematics 8 Journal of Computational and Applied Mathematics 8 Mathematical Problems in Engineering 7 Computational and Applied Mathematics 7 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 6 Journal of Mathematical Physics 6 Reports on Mathematical Physics 6 Nonlinear Analysis. Modelling and Control 6 Mathematical Biosciences and Engineering 5 Filomat 5 Journal of Physics A: Mathematical and Theoretical 5 Mathematical Modelling of Natural Phenomena 5 Discrete and Continuous Dynamical Systems. Series S 5 Nonlinear Systems and Complexity 5 Open Mathematics 4 Modern Physics Letters A 4 Helvetica Physica Acta 4 Applied Mathematical Modelling 4 Scientific Bulletin. Series A. Applied Mathematics and Physics. Politehnica University of Bucharest 4 Physica Scripta 4 Nonlinear Analysis. Real World Applications 4 Waves in Random and Complex Media 4 International Journal of Biomathematics 3 International Journal of Modern Physics A 3 Journal of Computational Physics 3 Physics Letters. A 3 Journal of Optimization Theory and Applications 3 Mathematics and Computers in Simulation 3 Applied Mathematics Letters 3 International Journal of Computer Mathematics 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Complexity 3 Discrete Dynamics in Nature and Society 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Journal of Applied Mathematics and Computing 3 Hacettepe Journal of Mathematics and Statistics 3 Miskolc Mathematical Notes 3 Communications in Theoretical Physics 3 Series on Complexity, Nonlinearity, and Chaos 3 Journal of Mathematics 3 Journal of Applied Nonlinear Dynamics 3 Journal of Function Spaces 2 Journal of Mathematical Analysis and Applications 2 Fuzzy Sets and Systems 2 Optimal Control Applications & Methods 2 Signal Processing 2 Acta Mathematica Universitatis Comenianae. New Series 2 Turkish Journal of Mathematics 2 Nonlinear Studies 2 Electronic Journal of Qualitative Theory of Differential Equations 2 Analysis (München) 2 Fundamenta Informaticae 2 Discussiones Mathematicae. Differential Inclusions, Control and Optimization 2 Entropy 2 Proceedings of the Romanian Academy. Series A: Mathematics, Physics, Technical Sciences, Information Science 2 Journal of Mathematical Inequalities 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Symmetry 2 Springer Proceedings in Mathematics & Statistics 2 Discontinuity, Nonlinearity, and Complexity 2 Mathematics 2 Computational Methods for Differential Equations 2 Handbook of Fractional Calculus with Applications 1 Acta Mechanica 1 Applicable Analysis 1 General Relativity and Gravitation 1 International Journal of Control 1 Journal of the Franklin Institute 1 Revue Roumaine de Physique 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Journal of Geometry and Physics 1 Collectanea Mathematica 1 Kybernetika 1 Quaestiones Mathematicae 1 Bulletin of the Korean Mathematical Society 1 Note di Matematica 1 Bulletin of the Iranian Mathematical Society ...and 50 more Serials all top 5 Fields 378 Ordinary differential equations (34-XX) 375 Real functions (26-XX) 263 Partial differential equations (35-XX) 213 Numerical analysis (65-XX) 85 Biology and other natural sciences (92-XX) 84 Operator theory (47-XX) 69 Integral equations (45-XX) 51 Mechanics of particles and systems (70-XX) 50 Special functions (33-XX) 48 Systems theory; control (93-XX) 43 Dynamical systems and ergodic theory (37-XX) 40 Difference and functional equations (39-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 30 Quantum theory (81-XX) 27 General and overarching topics; collections (00-XX) 24 Integral transforms, operational calculus (44-XX) 22 Mechanics of deformable solids (74-XX) 22 Fluid mechanics (76-XX) 21 Statistical mechanics, structure of matter (82-XX) 20 Measure and integration (28-XX) 18 Relativity and gravitational theory (83-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 17 Differential geometry (53-XX) 15 Probability theory and stochastic processes (60-XX) 15 Optics, electromagnetic theory (78-XX) 14 Functional analysis (46-XX) 13 Approximations and expansions (41-XX) 11 Functions of a complex variable (30-XX) 11 General topology (54-XX) 11 Computer science (68-XX) 11 Information and communication theory, circuits (94-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Operations research, mathematical programming (90-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Combinatorics (05-XX) 6 Statistics (62-XX) 4 Number theory (11-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Mathematical logic and foundations (03-XX) 2 Potential theory (31-XX) 2 Sequences, series, summability (40-XX) 2 Convex and discrete geometry (52-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 819 Publications have been cited 15,387 times in 6,893 Documents Cited by ▼ Year ▼ Fractional calculus. Models and numerical methods. Zbl 1248.26011Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J. 720 2012 A new collection of real world applications of fractional calculus in science and engineering. Zbl 07265270Sun, HongGuang; Zhang, Yong; Baleanu, Dumitru; Chen, Wen; Chen, YangQuan 210 2018 A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative. Zbl 1483.92041Baleanu, Dumitru; Jajarmi, Amin; Mohammadi, Hakimeh; Rezapour, Shahram 202 2020 Discrete fractional logistic map and its chaos. Zbl 1281.34121Wu, Guo-Cheng; Baleanu, Dumitru 177 2014 Caputo-type modification of the Hadamard fractional derivatives. Zbl 1346.26002Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru 149 2012 Some existence results on nonlinear fractional differential equations. Zbl 1342.34009Baleanu, Dumitru; Rezapour, Shahram; Mohammadi, Hakimeh 132 2013 On a new class of fractional operators. Zbl 1422.26004Jarad, Fahd; Uğurlu, Ekin; Abdeljawad, Thabet; Baleanu, Dumitru 126 2017 New properties of conformable derivative. Zbl 1354.26008Atangana, Abdon; Baleanu, Dumitru; Alsaedi, Ahmed 116 2015 A Hamiltonian formulation and a direct numerical scheme for fractional optimal control problems. Zbl 1182.70047Agrawal, Om. P.; Baleanu, Dumitru 116 2007 A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations. Zbl 1349.65504Bhrawy, A. H.; Doha, E. H.; Baleanu, D.; Ezz-Eldien, S. S. 113 2015 On the existence of solutions for some infinite coefficient-symmetric Caputo-fabrizio fractional integro-differential equations. Zbl 1377.45004Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram 112 2017 Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems. Zbl 1228.45013Debbouche, Amar; Baleanu, Dumitru 112 2011 A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator. Zbl 1420.92039Baleanu, D.; Jajarmi, A.; Sajjadi, S. S.; Mozyrska, D. 108 2019 Lagrangian formulation of classical fields within Riemann-Liouville fractional derivatives. Zbl 1122.70360Baleanu, Dumitru; Muslih, Sami I. 106 2005 A hybrid Caputo fractional modeling for thermostat with hybrid boundary value conditions. Zbl 1495.34006Baleanu, Dumitru; Etemad, Sina; Rezapour, Shahram 106 2020 On fractional derivatives with exponential kernel and their discrete versions. Zbl 1384.26025Abdeljawad, Thabet; Baleanu, Dumitru 102 2017 On the global existence of solutions to a class of fractional differential equations. Zbl 1189.34006Băleanu, Dumitru; Mustafa, Octavian G. 101 2010 Stability analysis of Caputo fractional-order nonlinear systems revisited. Zbl 1243.93081Delavari, Hadi; Baleanu, Dumitru; Sadati, Jalil 100 2012 On fractional integro-differential inclusions via the extended fractional Caputo-Fabrizio derivation. Zbl 07634223Baleanu, Dumitru; Rezapour, Shahram; Saberpour, Zohreh 100 2019 New trends in nanotechnology and fractional calculus applications. Selected papers based on the presentations at the workshop new trends in science and technology (NTST 08), and the workshop fractional differentiation and its applications (FDA 09), Ankara, Türkei, November 2008. Zbl 1196.65021 99 2010 On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations. Zbl 1422.34019Aydogan, S. Melike; Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram 96 2017 On Caputo modification of the Hadamard fractional derivatives. Zbl 1343.26002Gambo, Yusuf Y.; Jarad, Fahd; Baleanu, Dumitru; Abdeljawad, Thabet 94 2014 Analysis of the model of HIV-1 infection of \(CD4^+\) T-cell with a new approach of fractional derivative. Zbl 1482.37090Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram 91 2020 Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels. Zbl 1419.34211Abdeljawad, Thabet; Baleanu, Dumitru 88 2016 The Hamilton formalism with fractional derivatives. Zbl 1104.70012Rabei, Eqab M.; Nawafleh, Khaled I.; Hijjawi, Raed S.; Muslih, Sami I.; Baleanu, Dumitru 87 2007 A central difference numerical scheme for fractional optimal control problems. Zbl 1272.49068Baleanu, Dumitru; Defterli, Ozlem; Agrawal, Om P. 86 2009 Hamiltonian formulation of systems with linear velocities within Riemann-Liouville fractional derivatives. Zbl 1149.70320Muslih, Sami I.; Baleanu, Dumitru 84 2005 Fractional dynamics and control. Papers based on the presentations at the 3rd conference on nonlinear science and complexity (NSC) Ankara, Turkey, July 27–31, 2010. Zbl 1231.93003 81 2012 Fractional Hamiltonian formalism within Caputo’s derivative. Zbl 1111.37304Baleanu, Dumitru; Agrawal, Om. P. 78 2006 Local fractional integral transforms and their applications. Zbl 1336.44001Yang, Xiao-Jun; Baleanu, Dumitru; Srivastava, H. M. 77 2016 Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel. Zbl 1412.47086Abdeljawad, Thabet; Baleanu, Dumitru 77 2017 A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative. Zbl 1422.34219Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram 74 2017 On the generalized fractional derivatives and their Caputo modification. Zbl 1412.26006Jarad, F.; Abdeljawad, T.; Baleanu, D. 74 2017 New variable-order fractional chaotic systems for fast image encryption. Zbl 1420.34028Wu, Guo-Cheng; Deng, Zhen-Guo; Baleanu, Dumitru; Zeng, De-Qiang 71 2019 On high order fractional integro-differential equations including the Caputo-Fabrizio derivative. Zbl 1499.34400Aydogan, Melike S.; Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram 71 2018 An existence result for a superlinear fractional differential equation. Zbl 1200.34004Băleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P. 70 2010 Chaos synchronization of fractional chaotic maps based on the stability condition. Zbl 1400.34107Wu, Guo-Cheng; Baleanu, Dumitru; Xie, He-Ping; Chen, Fu-Lai 69 2016 A new and efficient numerical method for the fractional modeling and optimal control of diabetes and tuberculosis co-existence. Zbl 1423.92093Jajarmi, Amin; Ghanbari, Behzad; Baleanu, Dumitru 68 2019 Fractional differences and integration by parts. Zbl 1225.39008Abdeljawad, Thabet; Baleanu, Dumitru 68 2011 On the existence and the uniqueness theorem for fractional differential equations with bounded delay within Caputo derivatives. Zbl 1179.26024Maraaba, Thabet Abdeljawad; Jarad, Fahd; Baleanu, Dumitru 68 2008 On exact traveling-wave solutions for local fractional Korteweg-de Vries equation. Zbl 1378.35329Yang, Xiao-Jun; Tenreiro Machado, J. A.; Baleanu, Dumitru; Cattani, Carlo 67 2016 Caputo \(q\)-fractional initial value problems and a \(q\)-analogue Mittag-Leffler function. Zbl 1231.26006Abdeljawad, Thabet; Baleanu, Dumitru 67 2011 A survey on fuzzy fractional differential and optimal control nonlocal evolution equations. Zbl 1388.34005Agarwal, Ravi P.; Baleanu, Dumitru; Nieto, Juan J.; Torres, Delfim F. M.; Zhou, Yong 67 2018 Some existence results for a nonlinear fractional differential equation on partially ordered Banach spaces. Zbl 1301.34007Baleanu, Dumitru; Agarwal, Ravi P.; Mohammadi, Hakimeh; Rezapour, Shahram 66 2013 On coupled systems of time-fractional differential problems by using a new fractional derivative. Zbl 1367.34006Alsaedi, Ahmed; Baleanu, Dumitru; Etemad, Sina; Rezapour, Shahram 65 2016 Fractional calculus. Models and numerical methods. 2nd expanded edition. Zbl 1347.26006Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J. 64 2017 Fractional Bloch equation with delay. Zbl 1217.34123Bhalekar, Sachin; Daftardar-Gejji, Varsha; Baleanu, Dumitru; Magin, Richard 64 2011 Analyzing transient response of the parallel RCL circuit by using the Caputo-Fabrizio fractional derivative. Zbl 1487.94202Alizadeh, Shahram; Baleanu, Dumitru; Rezapour, Shahram 63 2020 A new fractional modelling and control strategy for the outbreak of dengue fever. Zbl 07571256Jajarmi, Amin; Arshad, Sadia; Baleanu, Dumitru 62 2019 Cantor-type cylindrical-coordinate method for differential equations with local fractional derivatives. Zbl 1298.35243Yang, Xiao-Jun; Srivastava, H. M.; He, Ji-Huan; Baleanu, Dumitru 60 2013 On some new properties of fractional derivatives with Mittag-Leffler kernel. Zbl 07263357Baleanu, Dumitru; Fernandez, Arran 60 2018 A new fractional analysis on the interaction of HIV with \(\text{CD4}^+\) T-cells. Zbl 1404.92117Jajarmi, Amin; Baleanu, Dumitru 60 2018 On Cauchy problems with Caputo Hadamard fractional derivatives. Zbl 1336.34010Adjabi, Y.; Jarad, F.; Baleanu, D.; Abdeljawad, T. 59 2016 Stability of \(q\)-fractional non-autonomous systems. Zbl 1258.34014Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru 59 2013 On the analysis of vibration equation involving a fractional derivative with Mittag-Leffler law. Zbl 1442.35515Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru 59 2020 On analytical solutions of the fractional differential equation with uncertainty: application to the Basset problem. Zbl 1338.34025Salahshour, Soheil; Ahmadian, Ali; Senu, Norazak; Baleanu, Dumitru; Agarwal, Praveen 57 2015 Monotonicity results for fractional difference operators with discrete exponential kernels. Zbl 1422.39048Abdeljawad, Thabet; Baleanu, Dumitru 57 2017 A new fractional model for giving up smoking dynamics. Zbl 1422.34062Singh, Jagdev; Kumar, Devendra; Al Qurashi, Maysaa; Baleanu, Dumitru 57 2017 Existence and uniqueness results for fractional differential equations with uncertainty. Zbl 1350.34011Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.; Baleanu, D. 56 2012 On exact solutions of a class of fractional Euler-Lagrange equations. Zbl 1170.70328Baleanu, Dumitru; Trujillo, Juan J. 56 2008 Two fractional derivative inclusion problems via integral boundary condition. Zbl 1338.34048Agarwal, Ravi P.; Baleanu, Dumitru; Hedayati, Vahid; Rezapour, Shahram 55 2015 New aspects of fractional Biswas-Milovic model with Mittag-Leffler law. Zbl 1423.35415Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru 55 2019 Fractional modeling of blood ethanol concentration system with real data application. Zbl 1406.92325Qureshi, Sania; Yusuf, Abdullahi; Shaikh, Asif Ali; Inc, Mustafa; Baleanu, Dumitru 55 2019 A new approach for solving a system of fractional partial differential equations. Zbl 1381.35221Jafari, H.; Nazari, M.; Baleanu, D.; Khalique, C. M. 53 2013 Fractional optimal control problems with several state and control variables. Zbl 1269.49002Agrawal, Om P.; Defterli, Ozlem; Baleanu, Dumitru 53 2010 The extended fractional Caputo-Fabrizio derivative of order \(0\leq \sigma <1\) on \(C_{\mathbb{R}}[0,1]\) and the existence of solutions for two higher-order series-type differential equations. Zbl 1446.34009Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram 53 2018 LMI-based stabilization of a class of fractional-order chaotic systems. Zbl 1268.93121Faieghi, Mohammadreza; Kuntanapreeda, Suwat; Delavari, Hadi; Baleanu, Dumitru 53 2013 On nonlinear fractional Klein-Gordon equation. Zbl 1203.94031Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Baleanu, Dumitru 52 2011 Discrete chaos in fractional sine and standard maps. Zbl 1331.37048Wu, Guo-Cheng; Baleanu, Dumitru; Zeng, Sheng-Da 50 2014 Lyapunov functions for Riemann-Liouville-like fractional difference equations. Zbl 1426.39010Wu, Guo-Cheng; Baleanu, Dumitru; Luo, Wei-Hua 50 2017 On shifted Jacobi spectral approximations for solving fractional differential equations. Zbl 1291.65207Doha, E. H.; Bhrawy, A. H.; Baleanu, D.; Ezz-Eldien, S. S. 50 2013 A new adaptive synchronization and hyperchaos control of a biological snap oscillator. Zbl 1490.92005Sajjadi, Samaneh Sadat; Baleanu, Dumitru; Jajarmi, Amin; Pirouz, Hassan Mohammadi 50 2020 Two-strain epidemic model involving fractional derivative with Mittag-Leffler kernel. Zbl 1404.92211Yusuf, Abdullahi; Qureshi, Sania; Inc, Mustafa; Aliyu, Aliyu Isa; Baleanu, Dumitru; Shaikh, Asif Ali 49 2018 Two analytical methods for time-fractional nonlinear coupled Boussinesq-Burger’s equations arise in propagation of shallow water waves. Zbl 1355.76015Kumar, Sunil; Kumar, Amit; Baleanu, Dumitru 48 2016 On \(L^{p}\)-solutions for a class of sequential fractional differential equations. Zbl 1235.34008Băleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P. 48 2011 On fractional calculus with general analytic kernels. Zbl 1428.26011Fernandez, Arran; Özarslan, Mehmet Ali; Baleanu, Dumitru 48 2019 On the solution set for a class of sequential fractional differential equations. Zbl 1216.34004Băleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P. 48 2010 A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel. Zbl 1448.65062Baleanu, D.; Shiri, B.; Srivastava, H. M.; Al Qurashi, M. 48 2018 Variational iteration method for the Burgers’ flow with fractional derivatives – new Lagrange multipliers. Zbl 1438.76046Wu, Guo-Cheng; Baleanu, Dumitru 48 2013 A new Jacobi rational-Gauss collocation method for numerical solution of generalized pantograph equations. Zbl 1302.65175Doha, E. H.; Bhrawy, A. H.; Baleanu, D.; Hafez, R. M. 48 2014 Chaos analysis and asymptotic stability of generalized Caputo fractional differential equations. Zbl 1374.34306Baleanu, Dumitru; Wu, Guo-Cheng; Zeng, Sheng-Da 47 2017 Existence and uniqueness theorem for a class of delay differential equations with left and right Caputo fractional derivatives. Zbl 1152.81550Maraaba, Thabet; Baleanu, Dumitru; Jarad, Fahd 47 2008 On the accurate discretization of a highly nonlinear boundary value problem. Zbl 1405.65143Hajipour, Mojtaba; Jajarmi, Amin; Baleanu, Dumitru 47 2018 A spectral Legendre-Gauss-Lobatto collocation method for a space-fractional advection diffusion equations with variable coefficients. Zbl 1292.65109Bhrawy, A. H.; Baleanu, D. 47 2013 Monotonicity analysis of a nabla discrete fractional operator with discrete Mittag-Leffler kernel. Zbl 1374.26011Abdeljawad, Thabet; Baleanu, Dumitru 46 2017 New exact solutions of Burgers’ type equations with conformable derivative. Zbl 1375.35595Çenesiz, Yücel; Baleanu, Dumitru; Kurt, Ali; Tasbozan, Orkun 46 2017 On an accurate discretization of a variable-order fractional reaction-diffusion equation. Zbl 07263946Hajipour, Mojtaba; Jajarmi, Amin; Baleanu, Dumitru; Sun, HongGuang 46 2019 A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives. Zbl 1221.34008Baleanu, Dumitru; Trujillo, Juan I. 46 2010 New fractional derivatives with non-singular kernel applied to the Burgers equation. Zbl 1394.35565Saad, Khaled M.; Atangana, Abdon; Baleanu, Dumitru 45 2018 New spectral techniques for systems of fractional differential equations using fractional-order generalized Laguerre orthogonal functions. Zbl 1312.65166Bhrawy, Ali; Alhamed, Yahia; Baleanu, Dumitru; Al-Zahrani, Abdulrahim 45 2014 A new analysis for fractional model of regularized long-wave equation arising in ion acoustic plasma waves. Zbl 1388.35212Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru 45 2017 Positivity-preserving sixth-order implicit finite difference weighted essentially non-oscillatory scheme for the nonlinear heat equation. Zbl 1429.65183Hajipour, Mojtaba; Jajarmi, Amin; Malek, Alaeddin; Baleanu, Dumitru 45 2018 On the analysis of fractional diabetes model with exponential law. Zbl 1446.34018Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru 45 2018 The extended Mittag-Leffler function via fractional calculus. Zbl 1412.33039Rahman, Gauhar; Baleanu, Dumitru; Al Qurashi, Maysaa; Purohit, Sunil Dutt; Mubeen, Shahid; Arshad, Muhammad 45 2017 Two efficient generalized Laguerre spectral algorithms for fractional initial value problems. Zbl 1291.65240Baleanu, D.; Bhrawy, A. H.; Taha, T. M. 45 2013 A Jacobi operational matrix for solving a fuzzy linear fractional differential equation. Zbl 1380.34004Ahmadian, Ali; Suleiman, Mohamed; Salahshour, Soheil; Baleanu, Dumitru 44 2013 A new numerical algorithm for fractional Fitzhugh-Nagumo equation arising in transmission of nerve impulses. Zbl 1390.35376Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru 43 2018 A novel expansion iterative method for solving linear partial differential equations of fractional order. Zbl 1339.65201El-Ajou, Ahmad; Abu Arqub, Omar; Momani, Shaher; Baleanu, Dumitru; Alsaedi, Ahmed 42 2015 On the existence of solutions of a three steps crisis integro-differential equation. Zbl 1445.45011Baleanu, Dumitru; Ghafarnezhad, Khadijeh; Rezapour, Shahram; Shabibi, Mehdi 42 2018 A hybrid computational approach for Klein-Gordon equations on Cantor sets. Zbl 1371.35326Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru 42 2017 Advanced analysis of local fractional calculus applied to the Rice theory in fractal fracture mechanics. Zbl 1475.74008Yang, Xiao-Jun; Baleanu, Dumitru; Srivastava, H. M. 3 2022 On time fractional pseudo-parabolic equations with nonlocal integral conditions. Zbl 1497.35503Tuan, Nguyen Anh; O’Regan, Donal; Baleanu, Dumitru; Tuan, Nguyen H. 3 2022 A general fractional pollution model for lakes. Zbl 07570486Shiri, Babak; Baleanu, Dumitru 3 2022 On constrained minimization, variational inequality and split feasibility problem via new iteration scheme in Banach spaces. Zbl 07581258Garodia, Chanchal; Uddin, Izhar; Baleanu, Dumitru 3 2022 A Taylor-Chebyshev approximation technique to solve the \(1D\) and \(2D\) nonlinear Burgers equations. Zbl 07663790Izadi, Mohammad; Yüzbaşı, Şuayip; Baleanu, Dumitru 3 2022 Projectile motion using three parameter Mittag-Leffler function calculus. Zbl 07487702Bokhari, Ahmed; Belgacem, Rachid; Kumar, Sunil; Baleanu, Dumitru; Djilali, Salih 2 2022 New classifications of monotonicity investigation for discrete operators with Mittag-Leffler kernel. Zbl 07513340Mohammed, Pshtiwan Othman; Goodrich, Christopher S.; Brzo, Aram Bahroz; Baleanu, Dumitru; Hamed, Yasser S. 2 2022 An inverse source problem for pseudo-parabolic equation with Caputo derivative. Zbl 1490.35542Long, Le Dinh; Luc, Nguyen Hoang; Tatar, Salih; Baleanu, Dumitru; Can, Nguyen Huu 2 2022 The performance of a numerical scheme on the variable-order time-fractional advection-reaction-subdiffusion equations. Zbl 07533815Kheirkhah, Farnaz; Hajipour, Mojtaba; Baleanu, Dumitru 2 2022 Finite-time stability results for fractional damped dynamical systems with time delays. Zbl 1500.34067Arthi, Ganesan; Brindha, Nallasamy; Baleanu, Dumitru 2 2022 Lie group theory for nonlinear fractional \(K(m, n)\) type equation with variable coefficients. Zbl 1479.35736Jafari, H.; Kadkhoda, N.; Baleanu, Dumitru 1 2022 Lucas wavelet scheme for fractional Bagley-Torvik equations: Gauss-Jacobi approach. Zbl 1485.65089Koundal, Reena; Kumar, Rakesh; Srivastava, K.; Baleanu, D. 1 2022 Oscillation result for half-linear delay difference equations of second-order. Zbl 1490.39015Jayakumar, Chinnasamy; Santra, Shyam Sundar; Baleanu, Dumitru; Edwan, Reem; Govindan, Vediyappan; Murugesan, Arumugam; Altanji, Mohamed 1 2022 Analysis and some applications of a regularized \(\Psi\)-Hilfer fractional derivative. Zbl 1505.26017Jajarmi, Amin; Baleanu, Dumitru; Sajjadi, Samaneh Sadat; Nieto, Juan J. 1 2022 The geophysical KdV equation: its solitons, complexiton, and conservation laws. Zbl 1492.35266Hosseini, K.; Akbulut, A.; Baleanu, D.; Salahshour, S.; Mirzazadeh, M.; Akinyemi, L. 1 2022 A novel computing stochastic algorithm to solve the nonlinear singular periodic boundary value problems. Zbl 07579676Sabir, Zulqurnain; Baleanu, Dumitru; Ali, Mohamed R.; Sadat, R. 1 2022 On a problem for the nonlinear diffusion equation with conformable time derivative. Zbl 1500.35291Au, Vo Van; Baleanu, Dumitru; Zhou, Yong; Huu Can, Nguyen 1 2022 A new existence results on fractional differential inclusions with state-dependent delay and Mittag-Leffler kernel in Banach space. Zbl 07660086Arjunan, Mani Mallika; Kavitha, Velusamy; Baleanu, Dumitru 1 2022 Hyperchaotic behaviors, optimal control, and synchronization of a nonautonomous cardiac conduction system. Zbl 1494.34137Baleanu, Dumitru; Sajjadi, Samaneh Sadat; Asad, Jihad H.; Jajarmi, Amin; Estiri, Elham 40 2021 On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control. Zbl 1494.34138Baleanu, Dumitru; Sajjadi, Samaneh Sadat; Jajarmi, Amin; Defterli, Özlem 34 2021 A nonstandard finite difference scheme for the modeling and nonidentical synchronization of a novel fractional chaotic system. Zbl 1494.65060Baleanu, Dumitru; Zibaei, Sadegh; Namjoo, Mehran; Jajarmi, Amin 21 2021 Discrete fractional calculus for interval-valued systems. Zbl 1464.39007Huang, Lan-Lan; Wu, Guo-Cheng; Baleanu, Dumitru; Wang, Hong-Yong 19 2021 A spectral collocation method for solving fractional KdV and KdV-Burgers equations with non-singular kernel derivatives. Zbl 1457.76114Khader, M. M.; Saad, Khaled M.; Hammouch, Zakia; Baleanu, Dumitru 17 2021 Fractional calculus in the sky. Zbl 1494.26007Baleanu, Dumitru; Agarwal, Ravi P. 11 2021 An effective computational method to deal with a time-fractional nonlinear water wave equation in the Caputo sense. Zbl 07428957Hosseini, Kamyar; Ilie, Mousa; Mirzazadeh, Mohammad; Yusuf, Abdullahi; Sulaiman, Tukur Abdulkadir; Baleanu, Dumitru; Salahshour, Soheil 10 2021 Existence and Hyers-Ulam type stability results for nonlinear coupled system of Caputo-Hadamard type fractional differential equations. Zbl 1484.34035Muthaiah, Subramanian; Baleanu, Dumitru; Thangaraj, Nandha Gopal 10 2021 On quantum hybrid fractional conformable differential and integral operators in a complex domain. Zbl 1468.30041Ibrahim, Rabha W.; Baleanu, Dumitru 9 2021 Analysis of the fractional corona virus pandemic via deterministic modeling. Zbl 1472.34097Tuan, Nguyen Huy; Tri, Vo Viet; Baleanu, Dumitru 9 2021 Classes of operators in fractional calculus: a case study. Zbl 07377140Fernandez, Arran; Baleanu, Dumitru 9 2021 An analytic study on the approximate solution of a nonlinear time-fractional Cauchy reaction-diffusion equation with the Mittag-Leffler law. Zbl 1471.35301Hosseini, Kamyar; Ilie, Mousa; Mirzazadeh, Mohammad; Baleanu, Dumitru 9 2021 Achieving more precise bounds based on double and triple integral as proposed by generalized proportional fractional operators in the Hilfer sense. Zbl 1481.26004Al-Qurashi, Maysaa; Rashid, Saima; Karaca, Yeliz; Hammouch, Zakia; Baleanu, Dumitru; Chu, Yu-Ming 8 2021 An efficient numerical scheme based on Lucas polynomials for the study of multidimensional Burgers-type equations. Zbl 1487.65162Ali, Ihteram; Haq, Sirajul; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru 8 2021 SIR epidemic model of childhood diseases through fractional operators with Mittag-Leffler and exponential kernels. Zbl 07318269Jena, Rajarama Mohan; Chakraverty, Snehashish; Baleanu, Dumitru 7 2021 A novel modeling of boundary value problems on the glucose graph. Zbl 1466.92244Baleanu, Dumitru; Etemad, Sina; Mohammadi, Hakimeh; Rezapour, Shahram 7 2021 Criteria for existence of solutions for a Liouville-Caputo boundary value problem via generalized Gronwall’s inequality. Zbl 1504.34012Mohammadi, Hakimeh; Baleanu, Dumitru; Etemad, Sina; Rezapour, Shahram 7 2021 Fractional Mayer neuro-swarm heuristic solver for multi-fractional order doubly singular model based on Lane-Emden equation. Zbl 1481.65104Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Baleanu, Dumitru 7 2021 Pattern formation in superdiffusion predator-prey-like problems with integer- and noninteger-order derivatives. Zbl 1475.35360Owolabi, Kolade M.; Karaagac, Berat; Baleanu, Dumitru 7 2021 Quasi-periodic, chaotic and travelling wave structures of modified Gardner equation. Zbl 1498.35455Jhangeer, Adil; Hussain, Amjad; Junaid-U-Rehman, M.; Baleanu, Dumitru; Riaz, Muhammad Bilal 7 2021 A class of time-fractional Dirac type operators. Zbl 1505.47050Baleanu, Dumitru; Restrepo, Joel E.; Suragan, Durvudkhan 7 2021 General Raina fractional integral inequalities on coordinates of convex functions. Zbl 1487.26030Baleanu, Dumitru; Kashuri, Artion; Mohammed, Pshtiwan Othman; Meftah, Badreddine 7 2021 Approximation of fixed point and its application to fractional differential equation. Zbl 1475.54030Khatoon, Sabiya; Uddin, Izhar; Baleanu, Dumitru 6 2021 On the approximate solutions for a system of coupled Korteweg-de Vries equations with local fractional derivative. Zbl 07465612Jafari, Hossein; Jassim, Hassan Kamil; Baleanu, Dumitru; Chu, Yu-Ming 6 2021 A fractal fractional model for cervical cancer due to human papillomavirus infection. Zbl 1489.37103Akgül, A.; Ahmed, N.; Raza, A.; Iqbal, Z.; Rafiq, M.; Rehman, M. A.; Baleanu, D. 6 2021 New Newton’s type estimates pertaining to local fractional integral via generalized \(p\)-convexity with applications. Zbl 1487.26011Li, Yong-Min; Rashid, Saima; Hammouch, Zakia; Baleanu, Dumitru; Chu, Yu-Ming 6 2021 New multi-functional approach for \(\kappa\)th-order differentiability governed by fractional calculus via approximately generalized \((\psi, \hbar)\)-convex functions in Hilbert space. Zbl 07465619Wang, Miao-Kun; Rashid, Saima; Karaca, Yeliz; Baleanu, Dumitru; Chu, Yu-Ming 6 2021 Henry-Gronwall type \(q\)-fractional integral inequalities. Zbl 1470.39018Ben Makhlouf, Abdellatif; Kharrat, Mohamed; Hammami, Mohamed Ali; Baleanu, Dumitru 6 2021 Terminal value problems for the nonlinear systems of fractional differential equations. Zbl 1482.65109Shiri, Babak; Wu, Guo-Cheng; Baleanu, Dumitru 6 2021 Analysis and applications of the proportional Caputo derivative. Zbl 1494.26004Akgül, Ali; Baleanu, Dumitru 6 2021 Shifted ultraspherical pseudo-Galerkin method for approximating the solutions of some types of ordinary fractional problems. Zbl 1494.65064Abdelhakem, Mohamed; Mahmoud, Doha; Baleanu, Dumitru; El-kady, Mamdouh 5 2021 Design of neuro-swarming heuristic solver for multi-pantograph singular delay differential equation. Zbl 1481.65098Sabir, Zulqurnain; Baleanu, Dumitru; Raja, Muhammad Asif Zahoor; Guirao, Juan L. G. 4 2021 New aspects of fractional Bloch model associated with composite fractional derivative. Zbl 1469.82039Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru 4 2021 Some exact solutions of a variable coefficients fractional biological population model. Zbl 1475.35345Abdel Kader, Abass H.; Abdel Latif, Mohamed S.; Baleanu, Dumitru 4 2021 Collision phenomena among lump, periodic and soliton solutions to a (2+1)-dimensional Bogoyavlenskii’s breaking soliton model. Zbl 07409584Ullah, Mohammad Safi; Zulfikar Ali, M.; Roshid, Harun-Or; Seadawy, A. R.; Baleanu, Dumitru 4 2021 Mathematical analysis of tuberculosis control model using nonsingular kernel type Caputo derivative. Zbl 1485.92108Ahmad, Saeed; Ullah, Rafi; Baleanu, Dumitru 4 2021 A new approach on the modelling, chaos control and synchronization of a fractional biological oscillator. Zbl 1487.92004Alshomrani, Ali Saleh; Ullah, Malik Zaka; Baleanu, Dumitru 4 2021 On a combination of fractional differential and integral operators associated with a class of normalized functions. Zbl 07543323Ibrahim, Rabha W.; Baleanu, Dumitru 4 2021 Periodic and rogue waves for Heisenberg models of ferromagnetic spin chains with fractional beta derivative evolution and obliqueness. Zbl 1500.82006Uddin, M. Farhad; Hafez, M. Golam; Hammouch, Zakia; Baleanu, Dumitru 4 2021 Dynamics and numerical investigations of a fractional-order model of toxoplasmosis in the population of human and cats. Zbl 1498.92278Zafar, Zain Ul Abadin; Ali, Nigar; Baleanu, Dumitru 4 2021 Bivariate Chebyshev polynomials of the fifth kind for variable-order time-fractional partial integro-differential equations with weakly singular kernel. Zbl 1494.65104Sadri, Khadijeh; Hosseini, Kamyar; Baleanu, Dumitru; Ahmadian, Ali; Salahshour, Soheil 4 2021 Dynamics of pattern formation process in fractional-order super-diffusive processes: a computational approach. Zbl 1498.92005Owolabi, Kolade M.; Karaagac, Berat; Baleanu, Dumitru 4 2021 Numerical investigation of space fractional order diffusion equation by the Chebyshev collocation method of the fourth kind and compact finite difference scheme. Zbl 1475.65062Aghdam, Yones Esmaeelzade; Safdari, Hamid; Azari, Yaqub; Jafari, Hossein; Baleanu, Dumitru 3 2021 Optimal solutions for singular linear systems of Caputo fractional differential equations. Zbl 1478.34007Dassios, Ioannis; Baleanu, Dumitru 3 2021 Computational and numerical simulations for the deoxyribonucleic acid (DNA) model. Zbl 1471.92238Attia, Raghda A. M.; Baleanu, Dumitru; Lu, Dianchen; Khater, Mostafa M. A.; Ahmed, El-Sayed 3 2021 On the weighted fractional integral inequalities for Chebyshev functionals. Zbl 1485.26048Rahman, Gauhar; Nisar, Kottakkaran Sooppy; Khan, Sami Ullah; Baleanu, Dumitru; Vijayakumar, V. 3 2021 A novel collocated-shifted Lucas polynomial approach for fractional integro-differential equations. Zbl 1485.65132Koundal, Reena; Kumar, Rakesh; Kumar, Ravinder; Srivastava, K.; Baleanu, D. 3 2021 New iterative approach for the solutions of fractional order inhomogeneous partial differential equations. Zbl 1484.65285Zada, Laiq; Nawaz, Rashid; Ahsan, Sumbal; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru 3 2021 The analytical analysis of nonlinear fractional-order dynamical models. Zbl 1484.65284Xu, Jiabin; Khan, Hassan; Shah, Rasool; Alderremy, A. A.; Aly, Shaban; Baleanu, Dumitru 3 2021 New approximate analytical technique for the solution of time fractional fluid flow models. Zbl 1487.35401Farooq, Umar; Khan, Hassan; Tchier, Fairouz; Hincal, Evren; Baleanu, Dumitru; Bin Jebreen, Haifa 3 2021 Caputo SIR model for COVID-19 under optimized fractional order. Zbl 1494.92121Alshomrani, Ali S.; Ullah, Malik Z.; Baleanu, Dumitru 3 2021 Existence, uniqueness and stability analysis of a coupled fractional-order differential systems involving Hadamard derivatives and associated with multi-point boundary conditions. Zbl 1494.34060Subramanian, Muthaiah; Alzabut, Jehad; Baleanu, Dumitru; Samei, Mohammad Esmael; Zada, Akbar 3 2021 Identifying the source function for time fractional diffusion with non-local in time conditions. Zbl 1476.35113Luc, Nguyen Hoang; Baleanu, Dumitru; Agarwal, Ravi P.; Long, Le Dinh 2 2021 Some new dynamic inequalities with several functions of Hardy type on time scales. Zbl 1504.26090Hamiaz, Adnane; Abuelela, Waleed; Saker, Samir H.; Baleanu, Dumitru 2 2021 Analysis of time-fractional dynamical model of romantic and interpersonal relationships with non-singular kernels: a comparative study. Zbl 1470.91210Jena, Rajarama Mohan; Chakraverty, Snehashish; Baleanu, Dumitru; Jena, Subrat Kumar 2 2021 Recovering the initial value for a system of nonlocal diffusion equations with random noise on the measurements. Zbl 1470.35439Triet, Nguyen Anh; Binh, Tran Thanh; Phuong, Nguyen Duc; Baleanu, Dumitru; Can, Nguyen Huu 2 2021 A new fractional SICA model and numerical method for the transmission of HIV/AIDS. Zbl 1470.92357Ullah, Malik Zaka; Baleanu, Dumitru 2 2021 Recovering the source term for parabolic equation with nonlocal integral condition. Zbl 1470.35437Phuong, Nguyen Duc; Baleanu, Dumitru; Phong, Tran Thanh; Long, Le Dinh 2 2021 The stability of the fractional Volterra integro-differential equation by means of \(\Psi \)-Hilfer operator revisited. Zbl 1475.45019Baleanu, Dumitru; Saadati, Reza; Sousa, José 2 2021 A new integral operational matrix with applications to multi-order fractional differential equations. Zbl 1484.34067Talib, Imran; Alam, Md. Nur; Baleanu, Dumitru; Zaidi, Danish; Marriyam, Ammarah 2 2021 A Razumikhin approach to stability and synchronization criteria for fractional order time delayed gene regulatory networks. Zbl 1484.34172Anbalagan, Pratap; Hincal, Evren; Ramachandran, Raja; Baleanu, Dumitru; Cao, Jinde; Niezabitowski, Michal 2 2021 Construction and analysis of unified 4-point interpolating nonstationary subdivision surfaces. Zbl 1487.65022Bari, Mehwish; Mustafa, Ghulam; Ghaffar, Abdul; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru 2 2021 Applications of Gudermannian neural network for solving the SITR fractal system. Zbl 07542111Sabir, Zulqurnain; Umar, Muhammad; Raja, Muhammad Asif Zahoor; Baleanu, Dumitru 2 2021 Delay-coupled fractional order complex Cohen-Grossberg neural networks under parameter uncertainty: synchronization stability criteria. Zbl 07543246Anbalagan, Pratap; Hincal, Evren; Ramachandran, Raja; Baleanu, Dumitru; Cao, Jinde; Huang, Chuangxia; Niezabitowski, Michal 2 2021 Fractional unit-root tests allowing for a fractional frequency flexible Fourier form trend: predictability of Covid-19. Zbl 1494.62018Omay, Tolga; Baleanu, Dumitru 2 2021 A divided differences based medium to analyze smoothness of the binary bivariate refinement schemes. Zbl 1494.65008Hameed, Rabia; Mustafa, Ghulam; Baleanu, Dumitru; Chu, Yu-Ming 2 2021 On solutions of fractional multi-term sequential problems via some special categories of functions and (AEP)-property. Zbl 1494.34016Baleanu, Dumitru; Iqbal, Muhammad Qamar; Hussain, Azhar; Etemad, Sina; Rezapour, Shahram 2 2021 Boundary value problem for nonlinear fractional differential equations of variable order via Kuratowski MNC technique. Zbl 1494.34019Benkerrouche, Amar; Baleanu, Dumitru; Souid, Mohammed Said; Hakem, Ali; Inc, Mustafa 2 2021 Conformable differential operators for meromorphically multivalent functions. Zbl 07427887Ibrahim, Rabha W.; Baleanu, Dumitru; Jahangiri, Jay M. 1 2021 New interpolation spaces and strict Hölder regularity for fractional abstract Cauchy problem. Zbl 1497.34006Alam, Md Mansur; Dubey, Shruti; Baleanu, Dumitru 1 2021 Analysis of time delay model for drug therapy on HIV dynamics. Zbl 1499.34431Sivakumar, Vinoth; Baleanu, Dumitru; Thippan, Jayakumar; Dhandapani, Prasantha Bharathi 1 2021 On nabla conformable fractional Hardy-type inequalities on arbitrary time scales. Zbl 1504.26046El-Deeb, Ahmed A.; Makharesh, Samer D.; Nwaeze, Eze R.; Iyiola, Olaniyi S.; Baleanu, Dumitru 1 2021 A class of fractal Hilbert-type inequalities obtained via Cantor-type spherical coordinates. Zbl 1476.26015Baleanu, Dumitru; Krnić, Mario; Vukovic, Predrag 1 2021 Anti-synchronization of chaotic systems using a fractional conformable derivative with power law. Zbl 1487.65194Solís-Pérez, Jesús Emmanuel; Gómez-Aguilar, José Francisco; Baleanu, Dumitru; Tchier, Fairouz; Ragoub, Lakhdar 1 2021 Corrigendum to: “Analytical and numerical simulations for the kinetics of phase separation in iron (Fe-CR-X (X = Mo, Cu)) based on ternary alloys”. Zbl 07482519Lu, D.; Osman, M. S.; Khater, M. M. A.; Attia, R. A. M.; Baleanu, D. 1 2021 Green’s function and an inequality of Lyapunov-type for conformable boundary value problem. Zbl 1491.34009Baleanu, Dumitru; Basua, Debananda; Jonnalagadda, Jagan Mohan 1 2021 Hermite-Hadamard-Fejer type inequalities via fractional integral of a function concerning another function. Zbl 1484.26047Baleanu, Dumitru; Samraiz, Muhammad; Perveen, Zahida; Iqbal, Sajid; Nisar, Kottakkaran Sooppy; Rahman, Gauhar 1 2021 The (2+1)-dimensional hyperbolic nonlinear Schrödinger equation and its optical solitons. Zbl 07536292Baleanu, Dumitru; Hosseini, Kamyar; Salahshour, Soheil; Sadri, Khadijeh; Mirzazadeh, Mohammad; Park, Choonkil; Ahmadian, Ali 1 2021 A new fourth-order integrable nonlinear equation: breather, rogue waves, other lump interaction phenomena, and conservation laws. Zbl 1494.35138Baleanu, Dumitru; Alshomrani, Ali Saleh; Ullah, Malik Zaka 1 2021 A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative. Zbl 1483.92041Baleanu, Dumitru; Jajarmi, Amin; Mohammadi, Hakimeh; Rezapour, Shahram 202 2020 A hybrid Caputo fractional modeling for thermostat with hybrid boundary value conditions. Zbl 1495.34006Baleanu, Dumitru; Etemad, Sina; Rezapour, Shahram 106 2020 Analysis of the model of HIV-1 infection of \(CD4^+\) T-cell with a new approach of fractional derivative. Zbl 1482.37090Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram 91 2020 ...and 719 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,748 Authors 538 Băleanu, Dumitru I. 196 Abdeljawad, Thabet 129 Rezapour, Shahram 119 Ahmad, Bashir 103 Ntouyas, Sotiris K. 91 Sooppy Nisar, Kottakkaran 88 Jarad, Fahd 80 Gómez-Aguilar, José Francisco 78 Chu, Yuming 76 Machado, José António Tenreiro 73 Agarwal, Ravi P. 69 Shah, Kamal 63 Etemad, Sina 61 Al-saedi, Ahmed Eid Salem 59 Atangana, Abdon 54 Nieto Roig, Juan Jose 53 Yang, Xiao-Jun 52 Rashid, Saima 51 Inc, Mustafa 50 Jafari, Hossein 49 Alzabut, Jehad O. 48 Torres, Delfim Fernando Marado 47 O’Regan, Donal 46 Bhrawy, Ali Hassan 46 Wang, Guotao 45 Tariboon, Jessada 44 Benchohra, Mouffak 44 Khan, Aziz 44 Singh, Jagdev 43 Akgül, Ali 43 Kumar, Devendra 42 Agarwal, Praveen 42 Farid, Ghulam 42 Khan, Hasib 42 Salahshour, Soheil 39 Srivastava, Hari Mohan 39 Wang, Jinrong 37 Rahman, Gauhar 36 Samei, Mohammad Esmael 35 Ahmadian, Ali 35 Wu, Guocheng 35 Zhou, Yong 33 Momani, Shaher M. 33 Yusuf, Abdullahi A. 33 Zhang, Lihong 32 Almeida, Ricardo 30 Abdo, Mohammed Salem 30 Ordokhani, Yadollah 29 Fernandez, Arran 29 Owolabi, Kolade Matthew 28 Al-Smadi, Mohammed H. 28 Doha, Eid H. 28 Golmankhaneh, Alireza Khalili 28 Hammouch, Zakia 28 Kumar, Sunil 27 Abdelkawy, Mohamed A. 27 Kumam, Poom 27 Zada, Akbar 26 Liu, Fawang 25 Al-Omari, Shrideh Khalaf Qasem 25 Ibrahim, Rabha Waell 25 Purohit, Sunil Dutt 25 Sitthiwirattham, Thanin 24 Baskonus, Haci Mehmet 24 Cattani, Carlo 24 Debbouche, Amar 24 Li, Changpin 24 Mohammed, Pshtiwan Othman 24 Nguyen Huy Tuan 24 Ouannas, Adel 23 Kiliçman, Adem 23 Muslih, Sami I. 23 Razzaghi, Mohsen 23 Saad, Khaled Mohammed 22 Abbas, Said 22 Ezz-Eldien, Samer S. 22 Mohammadi, Hakimeh 22 Zaky, Mahmoud A. 22 Zhang, Yi 21 Dehghan Takht Fooladi, Mehdi 21 Khan, Ilyas 21 Lopes, António M. 21 Trujillo, Juan J. 21 Vijayakumar, Velusamy 20 Alquran, Marwan Taiseer 20 Avazzadeh, Zakieh 20 Heydari, Mohammad Hossien 20 Jajarmi, Amin 20 Khan, Muhammad Altaf 20 Khan, Rahmat Ali 20 Noor, Muhammad Aslam 20 Ravichandran, Chokkalingam 20 Sun, Hongguang 19 Chen, Yangquan 19 Khater, Mostafa M. A. 19 Khristova, Snezhana G. 19 Pham, Viet-Thanh 19 Seadawy, Aly R. 18 Ghanbari, Behzad 18 Goodrich, Christopher S. ...and 7,648 more Authors all top 5 Cited in 430 Serials 904 Advances in Difference Equations 432 Chaos, Solitons and Fractals 259 Fractals 224 Applied Mathematics and Computation 209 International Journal of Applied and Computational Mathematics 208 Abstract and Applied Analysis 169 AIMS Mathematics 156 Journal of Function Spaces 146 Computational and Applied Mathematics 137 Fractional Calculus & Applied Analysis 125 Journal of Computational and Applied Mathematics 125 Communications in Nonlinear Science and Numerical Simulation 124 Nonlinear Dynamics 102 Physica A 102 Boundary Value Problems 100 Computers & Mathematics with Applications 99 Advances in Mathematical Physics 92 Mathematical Problems in Engineering 91 Journal of Inequalities and Applications 74 Journal of Applied Mathematics and Computing 73 Applied Numerical Mathematics 62 Journal of Nonlinear Science and Applications 61 Mathematics and Computers in Simulation 60 Discrete Dynamics in Nature and Society 55 International Journal of Computer Mathematics 53 Discrete and Continuous Dynamical Systems. 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