Edit Profile (opens in new tab) Băleanu, Dumitru I. Co-Author Distance 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: https://www.intechopen.com/profiles/105623 External Links: arXiv · Google Scholar · ResearchGate · dblp · GND Documents Indexed: 992 Publications since 1990, including 5 Books and 13 Additional arXiv Preprints 32 Contributions as Editor Co-Authors: 893 Co-Authors with 1,004 Joint Publications 15,793 Co-Co-Authors all top 5 Co-Authors 18 single-authored 45 Rezapour, Shahram 40 Inc, Mustafa 36 Abdeljawad, Thabet 35 Wu, Guocheng 30 Jafari, Hossein 30 Muslih, Sami I. 29 Salahshour, Soheil 29 Sooppy Nisar, Kottakkaran 29 Yang, Xiao-Jun 27 Golmankhaneh, Alireza Khalili 27 Machado, José António Tenreiro 26 Jarad, Fahd 25 Yusuf, Abdullahi A. 24 Bhrawy, Ali Hassan 24 Jajarmi, Amin 23 Kumar, Devendra 22 Singh, Jagdev 20 Agarwal, Ravi P. 20 Aliyu, Aliyu Isa 19 Srivastava, Hari Mohan 18 Rabei, Eqab M. 17 Doha, Eid H. 16 Arjunan, Mani Mallika 15 Ahmadian, Ali 15 Alshomrani, Ali Saleh 15 Mustafa, Octavian G. 15 Purohit, Sunil Dutt 14 Chu, Yuming 14 Golmankhaneh, Ali Khalili 14 Mohammadi, Hakimeh 13 Hajipour, Mojtaba 13 Taş, Kenan 12 Akgül, Ali 12 Fernandez, Arran 12 Hosseini, Kamyar 12 Khan, Hasib 12 Suganya, Selvaraj 11 Agarwal, Praveen 11 Ahmed, Nauman 11 Alipour, Mohsen 11 Etemad, Sina 11 Nguyen Huy Tuan 11 O’Regan, Donal 10 Can, Nguyen Huu 10 Gómez-Aguilar, José Francisco 10 Wang, Guotao 9 Abbas, Muhammad Mohsin 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 Long, Le Dinh 9 Mohammed, Pshtiwan Othman 9 Rashid, Saima 9 Rehman, Muhammad Aziz-Ur 9 Ugurlu, Ekin 9 Zeng, Shengda 8 Al-Omari, Shrideh Khalaf Qasem 8 Arshad, Sadia 8 Cattani, Carlo 8 Defterli, Ozlem 8 Güler, Yurdahan 8 Ibrahim, Rabha Waell 8 Kadem, Abdelouahab 8 Khan, Aziz Ullah 8 Mirzazadeh, Mohammad 8 Mustafa, Ghulam 8 Sabir, Zulqurnain 8 Shiri, Babak 8 Sweilam, Nasser Hassan 7 Abdelkawy, Mohamed A. 7 Agrawal, Om Prakash 7 Al-Mekhlafi, Seham Mahyoub 7 Atangana, Abdon 7 Babakhani, Azizollah 7 Dassios, Ioannis K. 7 Dinç, Erdal 7 Hafez, Ramy Mahmoud 7 Jafarian, Ahmad 7 Jaradat, Imad 7 Karaca, Yeliz 7 Khater, Mostafa M. A. 7 Luc, Nguyen Hoang 7 Momani, Shaher M. 7 Nigmatullin, Raoul R. 7 Saad, Khaled Mohammed 7 Shah, Kamal 7 Trujillo, Juan J. 7 Zhang, Lihong 6 Agheli, Bahram 6 Al Qurashi, Maysaa’ Mohamed 6 Alquran, Marwan Taiseer 6 Alzabut, Jehad O. 6 Darzi, Rahmat 6 Debbouche, Amar 6 Ghanbari, Behzad 6 Hınçal, Evren 6 Kumar, Sunil ...and 796 more Co-Authors all top 5 Serials 190 Advances in Difference Equations 56 Abstract and Applied Analysis 55 Mathematical Methods in the Applied Sciences 34 Chaos, Solitons and Fractals 31 Communications in Nonlinear Science and Numerical Simulation 31 AIMS Mathematics 26 Fractals 25 Nonlinear Dynamics 21 Applied Mathematics and Computation 21 Journal of Inequalities and Applications 20 Journal of Nonlinear Science and Applications 18 Romanian Journal of Physics 16 Journal of Vibration and Control 16 Boundary Value Problems 15 International Journal of Theoretical Physics 15 Physica A 15 Applied Numerical Mathematics 15 Chaos 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 Mathematics and Computers in Simulation 5 International Journal of Computer Mathematics 5 Filomat 5 Qualitative Theory of Dynamical Systems 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 Numerical Methods for Partial Differential Equations 4 Applied Mathematical Modelling 4 Scientific Bulletin. Series A. Applied Mathematics and Physics. Politehnica University of Bucharest 4 International Journal of Nonlinear Sciences and Numerical Simulation 4 Physica Scripta 4 Nonlinear Analysis. Real World Applications 4 Waves in Random and Complex Media 4 International Journal of Biomathematics 4 Communications in Theoretical Physics 3 International Journal of Modern Physics A 3 Journal of Computational Physics 3 Physics Letters. A 3 Journal of Optimization Theory and Applications 3 Applied Mathematics Letters 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Complexity 3 Discrete Dynamics in Nature and Society 3 Journal of Applied Mathematics and Computing 3 Hacettepe Journal of Mathematics and Statistics 3 Miskolc Mathematical Notes 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 Numerical Algorithms 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 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 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 Lecture Notes in Networks and Systems 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 ...and 54 more Serials all top 5 Fields 393 Ordinary differential equations (34-XX) 389 Real functions (26-XX) 285 Partial differential equations (35-XX) 225 Numerical analysis (65-XX) 93 Biology and other natural sciences (92-XX) 86 Operator theory (47-XX) 72 Integral equations (45-XX) 55 Mechanics of particles and systems (70-XX) 52 Special functions (33-XX) 52 Systems theory; control (93-XX) 50 Dynamical systems and ergodic theory (37-XX) 42 Difference and functional equations (39-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 30 General and overarching topics; collections (00-XX) 30 Quantum theory (81-XX) 25 Integral transforms, operational calculus (44-XX) 24 Fluid mechanics (76-XX) 22 Differential geometry (53-XX) 22 Mechanics of deformable solids (74-XX) 21 Relativity and gravitational theory (83-XX) 20 Measure and integration (28-XX) 20 Probability theory and stochastic processes (60-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 16 Optics, electromagnetic theory (78-XX) 16 Statistical mechanics, structure of matter (82-XX) 15 Approximations and expansions (41-XX) 15 Computer science (68-XX) 14 Functional analysis (46-XX) 13 Functions of a complex variable (30-XX) 11 General topology (54-XX) 11 Information and communication theory, circuits (94-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Operations research, mathematical programming (90-XX) 7 Combinatorics (05-XX) 7 Statistics (62-XX) 4 Mathematical logic and foundations (03-XX) 4 Number theory (11-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-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 Abstract harmonic analysis (43-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 869 Publications have been cited 18,367 times in 8,263 Documents Cited by ▼ Year ▼ Fractional calculus. Models and numerical methods. Zbl 1248.26011 Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J. 837 2012 A new collection of real world applications of fractional calculus in science and engineering. Zbl 1509.26005 Sun, HongGuang; Zhang, Yong; Baleanu, Dumitru; Chen, Wen; Chen, YangQuan 346 2018 A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative. Zbl 1483.92041 Baleanu, Dumitru; Jajarmi, Amin; Mohammadi, Hakimeh; Rezapour, Shahram 247 2020 Discrete fractional logistic map and its chaos. Zbl 1281.34121 Wu, Guo-Cheng; Baleanu, Dumitru 193 2014 Caputo-type modification of the Hadamard fractional derivatives. Zbl 1346.26002 Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru 177 2012 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 168 2010 On a new class of fractional operators. Zbl 1422.26004 Jarad, Fahd; Uğurlu, Ekin; Abdeljawad, Thabet; Baleanu, Dumitru 153 2017 New properties of conformable derivative. Zbl 1354.26008 Atangana, Abdon; Baleanu, Dumitru; Alsaedi, Ahmed 150 2015 Some existence results on nonlinear fractional differential equations. Zbl 1342.34009 Baleanu, Dumitru; Rezapour, Shahram; Mohammadi, Hakimeh 137 2013 Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems. Zbl 1228.45013 Debbouche, Amar; Baleanu, Dumitru 127 2011 A spectral tau algorithm based on Jacobi operational matrix for numerical solution of time fractional diffusion-wave equations. Zbl 1349.65504 Bhrawy, A. H.; Doha, E. H.; Baleanu, D.; Ezz-Eldien, S. S. 124 2015 A Hamiltonian formulation and a direct numerical scheme for fractional optimal control problems. Zbl 1182.70047 Agrawal, Om. P.; Baleanu, Dumitru 123 2007 A hybrid Caputo fractional modeling for thermostat with hybrid boundary value conditions. Zbl 1495.34006 Baleanu, Dumitru; Etemad, Sina; Rezapour, Shahram 123 2020 Analysis of the model of HIV-1 infection of \(CD4^+\) T-cell with a new approach of fractional derivative. Zbl 1482.37090 Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram 120 2020 A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator. Zbl 1420.92039 Baleanu, D.; Jajarmi, A.; Sajjadi, S. S.; Mozyrska, D. 119 2019 On the existence of solutions for some infinite coefficient-symmetric Caputo-fabrizio fractional integro-differential equations. Zbl 1377.45004 Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram 118 2017 Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel. Zbl 1412.47086 Abdeljawad, Thabet; Baleanu, Dumitru 117 2017 On fractional derivatives with exponential kernel and their discrete versions. Zbl 1384.26025 Abdeljawad, Thabet; Baleanu, Dumitru 115 2017 On Caputo modification of the Hadamard fractional derivatives. Zbl 1343.26002 Gambo, Yusuf Y.; Jarad, Fahd; Baleanu, Dumitru; Abdeljawad, Thabet 113 2014 Stability analysis of Caputo fractional-order nonlinear systems revisited. Zbl 1243.93081 Delavari, Hadi; Baleanu, Dumitru; Sadati, Jalil 110 2012 On the generalized fractional derivatives and their Caputo modification. Zbl 1412.26006 Jarad, F.; Abdeljawad, T.; Baleanu, D. 109 2017 Lagrangian formulation of classical fields within Riemann-Liouville fractional derivatives. Zbl 1122.70360 Baleanu, Dumitru; Muslih, Sami I. 108 2005 Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels. Zbl 1419.34211 Abdeljawad, Thabet; Baleanu, Dumitru 107 2016 On the global existence of solutions to a class of fractional differential equations. Zbl 1189.34006 Băleanu, Dumitru; Mustafa, Octavian G. 106 2010 On fractional integro-differential inclusions via the extended fractional Caputo-Fabrizio derivation. Zbl 1524.45012 Baleanu, Dumitru; Rezapour, Shahram; Saberpour, Zohreh 106 2019 On some new properties of fractional derivatives with Mittag-Leffler kernel. Zbl 1510.34004 Baleanu, Dumitru; Fernandez, Arran 103 2018 On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations. Zbl 1422.34019 Aydogan, S. Melike; Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram 100 2017 Local fractional integral transforms and their applications. Zbl 1336.44001 Yang, Xiao-Jun; Baleanu, Dumitru; Srivastava, H. M. 93 2016 A central difference numerical scheme for fractional optimal control problems. Zbl 1272.49068 Baleanu, Dumitru; Defterli, Ozlem; Agrawal, Om P. 89 2009 The Hamilton formalism with fractional derivatives. Zbl 1104.70012 Rabei, Eqab M.; Nawafleh, Khaled I.; Hijjawi, Raed S.; Muslih, Sami I.; Baleanu, Dumitru 87 2007 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 86 2012 Hamiltonian formulation of systems with linear velocities within Riemann-Liouville fractional derivatives. Zbl 1149.70320 Muslih, Sami I.; Baleanu, Dumitru 84 2005 New variable-order fractional chaotic systems for fast image encryption. Zbl 1420.34028 Wu, Guo-Cheng; Deng, Zhen-Guo; Baleanu, Dumitru; Zeng, De-Qiang 84 2019 Fractional Hamiltonian formalism within Caputo’s derivative. Zbl 1111.37304 Baleanu, Dumitru; Agrawal, Om. P. 82 2006 A new method for investigating approximate solutions of some fractional integro-differential equations involving the Caputo-Fabrizio derivative. Zbl 1422.34219 Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram 80 2017 On exact traveling-wave solutions for local fractional Korteweg-de Vries equation. Zbl 1378.35329 Yang, Xiao-Jun; Tenreiro Machado, J. A.; Baleanu, Dumitru; Cattani, Carlo 79 2016 On high order fractional integro-differential equations including the Caputo-Fabrizio derivative. Zbl 1499.34400 Aydogan, Melike S.; Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram 78 2018 Chaos synchronization of fractional chaotic maps based on the stability condition. Zbl 1400.34107 Wu, Guo-Cheng; Baleanu, Dumitru; Xie, He-Ping; Chen, Fu-Lai 78 2016 Fractional differences and integration by parts. Zbl 1225.39008 Abdeljawad, Thabet; Baleanu, Dumitru 75 2011 A new and efficient numerical method for the fractional modeling and optimal control of diabetes and tuberculosis co-existence. Zbl 1423.92093 Jajarmi, Amin; Ghanbari, Behzad; Baleanu, Dumitru 75 2019 On the existence and the uniqueness theorem for fractional differential equations with bounded delay within Caputo derivatives. Zbl 1179.26024 Maraaba, Thabet Abdeljawad; Jarad, Fahd; Baleanu, Dumitru 74 2008 Lyapunov functions for Riemann-Liouville-like fractional difference equations. Zbl 1426.39010 Wu, Guo-Cheng; Baleanu, Dumitru; Luo, Wei-Hua 74 2017 Analysis of regularized long-wave equation associated with a new fractional operator with Mittag-Leffler type kernel. Zbl 1514.35463 Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru; Sushila 74 2018 Fractional calculus. Models and numerical methods. 2nd expanded edition. Zbl 1347.26006 Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J. 74 2017 A survey on fuzzy fractional differential and optimal control nonlocal evolution equations. Zbl 1388.34005 Agarwal, Ravi P.; Baleanu, Dumitru; Nieto, Juan J.; Torres, Delfim F. M.; Zhou, Yong 73 2018 On the analysis of vibration equation involving a fractional derivative with Mittag-Leffler law. Zbl 1442.35515 Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru 71 2020 An existence result for a superlinear fractional differential equation. Zbl 1200.34004 Băleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P. 71 2010 A new fractional analysis on the interaction of HIV with \(\text{CD4}^+\) T-cells. Zbl 1404.92117 Jajarmi, Amin; Baleanu, Dumitru 71 2018 Caputo \(q\)-fractional initial value problems and a \(q\)-analogue Mittag-Leffler function. Zbl 1231.26006 Abdeljawad, Thabet; Baleanu, Dumitru 70 2011 On coupled systems of time-fractional differential problems by using a new fractional derivative. Zbl 1367.34006 Alsaedi, Ahmed; Baleanu, Dumitru; Etemad, Sina; Rezapour, Shahram 69 2016 On an accurate discretization of a variable-order fractional reaction-diffusion equation. Zbl 1509.65071 Hajipour, Mojtaba; Jajarmi, Amin; Baleanu, Dumitru; Sun, HongGuang 69 2019 Some existence results for a nonlinear fractional differential equation on partially ordered Banach spaces. Zbl 1301.34007 Baleanu, Dumitru; Agarwal, Ravi P.; Mohammadi, Hakimeh; Rezapour, Shahram 68 2013 Analyzing transient response of the parallel RCL circuit by using the Caputo-Fabrizio fractional derivative. Zbl 1487.94202 Alizadeh, Shahram; Baleanu, Dumitru; Rezapour, Shahram 68 2020 A new fractional modelling and control strategy for the outbreak of dengue fever. Zbl 07571256 Jajarmi, Amin; Arshad, Sadia; Baleanu, Dumitru 67 2019 On Cauchy problems with Caputo Hadamard fractional derivatives. Zbl 1336.34010 Adjabi, Y.; Jarad, F.; Baleanu, D.; Abdeljawad, T. 66 2016 Fractional modeling of blood ethanol concentration system with real data application. Zbl 1406.92325 Qureshi, Sania; Yusuf, Abdullahi; Shaikh, Asif Ali; Inc, Mustafa; Baleanu, Dumitru 66 2019 A new fractional model for giving up smoking dynamics. Zbl 1422.34062 Singh, Jagdev; Kumar, Devendra; Al Qurashi, Maysaa; Baleanu, Dumitru 66 2017 On fractional calculus with general analytic kernels. Zbl 1428.26011 Fernandez, Arran; Özarslan, Mehmet Ali; Baleanu, Dumitru 65 2019 Fractional Bloch equation with delay. Zbl 1217.34123 Bhalekar, Sachin; Daftardar-Gejji, Varsha; Baleanu, Dumitru; Magin, Richard 64 2011 A new approach for solving multi variable orders differential equations with Mittag-Leffler kernel. Zbl 1489.65112 Ganji, R. M.; Jafari, H.; Baleanu, D. 64 2020 A new adaptive synchronization and hyperchaos control of a biological snap oscillator. Zbl 1490.92005 Sajjadi, Samaneh Sadat; Baleanu, Dumitru; Jajarmi, Amin; Pirouz, Hassan Mohammadi 64 2020 Stability of \(q\)-fractional non-autonomous systems. Zbl 1258.34014 Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru 64 2013 New aspects of fractional Biswas-Milovic model with Mittag-Leffler law. Zbl 1423.35415 Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru 64 2019 Cantor-type cylindrical-coordinate method for differential equations with local fractional derivatives. Zbl 1298.35243 Yang, Xiao-Jun; Srivastava, H. M.; He, Ji-Huan; Baleanu, Dumitru 63 2013 On analytical solutions of the fractional differential equation with uncertainty: application to the Basset problem. Zbl 1338.34025 Salahshour, Soheil; Ahmadian, Ali; Senu, Norazak; Baleanu, Dumitru; Agarwal, Praveen 62 2015 An efficient numerical algorithm for the fractional Drinfeld-Sokolov-Wilson equation. Zbl 1427.65324 Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru; Rathore, Sushila 62 2018 Two analytical methods for time-fractional nonlinear coupled Boussinesq-Burger’s equations arise in propagation of shallow water waves. Zbl 1355.76015 Kumar, Sunil; Kumar, Amit; Baleanu, Dumitru 61 2016 Monotonicity results for fractional difference operators with discrete exponential kernels. Zbl 1422.39048 Abdeljawad, Thabet; Baleanu, Dumitru 61 2017 New exact solutions of Burgers’ type equations with conformable derivative. Zbl 1375.35595 Çenesiz, Yücel; Baleanu, Dumitru; Kurt, Ali; Tasbozan, Orkun 60 2017 On exact solutions of a class of fractional Euler-Lagrange equations. Zbl 1170.70328 Baleanu, Dumitru; Trujillo, Juan J. 59 2008 Chaos analysis and asymptotic stability of generalized Caputo fractional differential equations. Zbl 1374.34306 Baleanu, Dumitru; Wu, Guo-Cheng; Zeng, Sheng-Da 59 2017 Existence and uniqueness results for fractional differential equations with uncertainty. Zbl 1350.34011 Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.; Baleanu, D. 59 2012 A new approach for solving a system of fractional partial differential equations. Zbl 1381.35221 Jafari, H.; Nazari, M.; Baleanu, D.; Khalique, C. M. 58 2013 LMI-based stabilization of a class of fractional-order chaotic systems. Zbl 1268.93121 Faieghi, Mohammadreza; Kuntanapreeda, Suwat; Delavari, Hadi; Baleanu, Dumitru 57 2013 Fractional optimal control problems with several state and control variables. Zbl 1269.49002 Agrawal, Om P.; Defterli, Ozlem; Baleanu, Dumitru 56 2010 A fractional differential equation model for the COVID-19 transmission by using the Caputo-Fabrizio derivative. Zbl 1485.37075 Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram 56 2020 Variational iteration method for the Burgers’ flow with fractional derivatives – new Lagrange multipliers. Zbl 1438.76046 Wu, Guo-Cheng; Baleanu, Dumitru 56 2013 Discrete chaos in fractional sine and standard maps. Zbl 1331.37048 Wu, Guo-Cheng; Baleanu, Dumitru; Zeng, Sheng-Da 55 2014 Two fractional derivative inclusion problems via integral boundary condition. Zbl 1338.34048 Agarwal, Ravi P.; Baleanu, Dumitru; Hedayati, Vahid; Rezapour, Shahram 55 2015 Positivity-preserving sixth-order implicit finite difference weighted essentially non-oscillatory scheme for the nonlinear heat equation. Zbl 1429.65183 Hajipour, Mojtaba; Jajarmi, Amin; Malek, Alaeddin; Baleanu, Dumitru 55 2018 Hyperchaotic behaviors, optimal control, and synchronization of a nonautonomous cardiac conduction system. Zbl 1494.34137 Baleanu, Dumitru; Sajjadi, Samaneh Sadat; Asad, Jihad H.; Jajarmi, Amin; Estiri, Elham 55 2021 On the analysis of fractional diabetes model with exponential law. Zbl 1446.34018 Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru 55 2018 New spectral techniques for systems of fractional differential equations using fractional-order generalized Laguerre orthogonal functions. Zbl 1312.65166 Bhrawy, Ali; Alhamed, Yahia; Baleanu, Dumitru; Al-Zahrani, Abdulrahim 54 2014 On nonlinear fractional Klein-Gordon equation. Zbl 1203.94031 Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Baleanu, Dumitru 53 2011 New fractional derivatives with non-singular kernel applied to the Burgers equation. Zbl 1394.35565 Saad, Khaled M.; Atangana, Abdon; Baleanu, Dumitru 53 2018 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 1446.34009 Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram 53 2018 A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives. Zbl 1221.34008 Baleanu, Dumitru; Trujillo, Juan I. 52 2010 A new analysis for fractional model of regularized long-wave equation arising in ion acoustic plasma waves. Zbl 1388.35212 Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru 52 2017 Existence and uniqueness theorem for a class of delay differential equations with left and right Caputo fractional derivatives. Zbl 1152.81550 Maraaba, Thabet; Baleanu, Dumitru; Jarad, Fahd 52 2008 Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions. Zbl 1508.26006 Fernandez, Arran; Baleanu, Dumitru; Srivastava, H. M. 52 2019 On shifted Jacobi spectral approximations for solving fractional differential equations. Zbl 1291.65207 Doha, E. H.; Bhrawy, A. H.; Baleanu, D.; Ezz-Eldien, S. S. 52 2013 On the solution set for a class of sequential fractional differential equations. Zbl 1216.34004 Băleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P. 52 2010 A new Jacobi rational-Gauss collocation method for numerical solution of generalized pantograph equations. Zbl 1302.65175 Doha, E. H.; Bhrawy, A. H.; Baleanu, D.; Hafez, R. M. 52 2014 A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel. Zbl 1448.65062 Baleanu, D.; Shiri, B.; Srivastava, H. M.; Al Qurashi, M. 52 2018 Monotonicity analysis of a nabla discrete fractional operator with discrete Mittag-Leffler kernel. Zbl 1374.26011 Abdeljawad, Thabet; Baleanu, Dumitru 51 2017 A spectral Legendre-Gauss-Lobatto collocation method for a space-fractional advection diffusion equations with variable coefficients. Zbl 1292.65109 Bhrawy, A. H.; Baleanu, D. 51 2013 Two-strain epidemic model involving fractional derivative with Mittag-Leffler kernel. Zbl 1404.92211 Yusuf, Abdullahi; Qureshi, Sania; Inc, Mustafa; Aliyu, Aliyu Isa; Baleanu, Dumitru; Shaikh, Asif Ali 51 2018 A hybrid computational approach for Klein-Gordon equations on Cantor sets. Zbl 1371.35326 Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru 49 2017 A Jacobi operational matrix for solving a fuzzy linear fractional differential equation. Zbl 1380.34004 Ahmadian, Ali; Suleiman, Mohamed; Salahshour, Soheil; Baleanu, Dumitru 49 2013 A novel expansion iterative method for solving linear partial differential equations of fractional order. Zbl 1339.65201 El-Ajou, Ahmad; Abu Arqub, Omar; Momani, Shaher; Baleanu, Dumitru; Alsaedi, Ahmed 49 2015 A numerical method based on the piecewise Jacobi functions for distributed-order fractional Schrödinger equation. Zbl 07609370 Heydari, M. H.; Razzaghi, M.; Baleanu, D. 4 2023 A high-order unconditionally stable numerical method for a class of multi-term time-fractional diffusion equation arising in the solute transport models. Zbl 1524.65637 Alam, Mohammad Prawesh; Khan, Arshad; Baleanu, Dumitru 3 2023 Exact solutions of the fractional time-derivative Fokker-Planck equation: a novel approach. Zbl 07782458 Abdel-Gawad, Hamdy I.; Sweilam, Nasser H.; Al-Mekhlafi, Seham M.; Baleanu, Dumitru 1 2023 A new fractional derivative operator with generalized cardinal sine kernel: numerical simulation. Zbl 07704432 Odibat, Zaid; Baleanu, Dumitru 1 2023 Solitons of the \((1 + 1)\)- and \((2 + 1)\)-dimensional chiral nonlinear Schrodinger equations with the Jacobi elliptical function method. Zbl 1515.35259 Tala-Tebue, Eric; Rezazadeh, Hadi; Javeed, Shumaila; Baleanu, Dumitru; Korkmaz, Alper 1 2023 Analysis and some applications of a regularized \(\Psi\)-Hilfer fractional derivative. Zbl 1505.26017 Jajarmi, Amin; Baleanu, Dumitru; Sajjadi, Samaneh Sadat; Nieto, Juan J. 21 2022 A general fractional formulation and tracking control for immunogenic tumor dynamics. Zbl 07787256 Jajarmi, Amin; Baleanu, Dumitru; Zarghami Vahid, Kianoush; Mobayen, Saleh 12 2022 On time fractional pseudo-parabolic equations with nonlocal integral conditions. Zbl 1497.35503 Tuan, Nguyen Anh; O’Regan, Donal; Baleanu, Dumitru; Tuan, Nguyen H. 8 2022 A general fractional pollution model for lakes. Zbl 1513.34331 Shiri, Babak; Baleanu, Dumitru 7 2022 An inverse source problem for pseudo-parabolic equation with Caputo derivative. Zbl 1490.35542 Long, Le Dinh; Luc, Nguyen Hoang; Tatar, Salih; Baleanu, Dumitru; Can, Nguyen Huu 4 2022 The performance of a numerical scheme on the variable-order time-fractional advection-reaction-subdiffusion equations. Zbl 07533815 Kheirkhah, Farnaz; Hajipour, Mojtaba; Baleanu, Dumitru 4 2022 On constrained minimization, variational inequality and split feasibility problem via new iteration scheme in Banach spaces. Zbl 1510.47086 Garodia, Chanchal; Uddin, Izhar; Baleanu, Dumitru 4 2022 The geophysical KdV equation: its solitons, complexiton, and conservation laws. Zbl 1492.35266 Hosseini, K.; Akbulut, A.; Baleanu, D.; Salahshour, S.; Mirzazadeh, M.; Akinyemi, L. 3 2022 A Taylor-Chebyshev approximation technique to solve the 1D and 2D nonlinear Burgers equations. Zbl 1510.65195 Izadi, Mohammad; Yüzbaşı, Şuayip; Baleanu, Dumitru 3 2022 Advanced analysis of local fractional calculus applied to the Rice theory in fractal fracture mechanics. Zbl 1475.74008 Yang, Xiao-Jun; Baleanu, Dumitru; Srivastava, H. M. 3 2022 New classifications of monotonicity investigation for discrete operators with Mittag-Leffler kernel. Zbl 07513340 Mohammed, Pshtiwan Othman; Goodrich, Christopher S.; Brzo, Aram Bahroz; Baleanu, Dumitru; Hamed, Yasser S. 2 2022 Finite-time stability results for fractional damped dynamical systems with time delays. Zbl 1500.34067 Arthi, Ganesan; Brindha, Nallasamy; Baleanu, Dumitru 2 2022 Monic Chebyshev pseudospectral differentiation matrices for higher-order IVPs and BVPs: applications to certain types of real-life problems. Zbl 1513.65230 Abdelhakem, M.; Ahmed, A.; Baleanu, D.; El-kady, M. 2 2022 On an extension of the operator with Mittag-Leffler kernel. Zbl 1514.34008 Al-Refai, Mohammed; Baleanu, Dumitru 2 2022 On a problem for the nonlinear diffusion equation with conformable time derivative. Zbl 1500.35291 Au, Vo Van; Baleanu, Dumitru; Zhou, Yong; Huu Can, Nguyen 2 2022 Lucas wavelet scheme for fractional Bagley-Torvik equations: Gauss-Jacobi approach. Zbl 1485.65089 Koundal, Reena; Kumar, Rakesh; Srivastava, K.; Baleanu, D. 2 2022 The Sharma-Tasso-Olver-Burgers equation: its conservation laws and kink solitons. Zbl 1512.35507 Hosseini, K.; Akbulut, A.; Baleanu, D.; Salahshour, S. 2 2022 Odd-order differential equations with deviating arguments: asymptomatic behavior and oscillation. Zbl 1500.34056 Muhib, A.; Dassios, I.; Baleanu, D.; Santra, S. S.; Moaaz, O. 1 2022 Third-order neutral differential equations of the mixed type: oscillatory and asymptotic behavior. Zbl 1497.34097 Qaraad, B.; Moaaz, O.; Baleanu, D.; Santra, S. S.; Ali, R.; Elabbasy, E. M. 1 2022 Oscillation result for half-linear delay difference equations of second-order. Zbl 1490.39015 Jayakumar, Chinnasamy; Santra, Shyam Sundar; Baleanu, Dumitru; Edwan, Reem; Govindan, Vediyappan; Murugesan, Arumugam; Altanji, Mohamed 1 2022 Some further properties of discrete Muckenhoupt and Gehring weights. Zbl 1500.26017 Saker, Samir H.; Krnić, Mario; Baleanu, Dumitru 1 2022 Numerical investigation of ordinary and partial differential equations with variable fractional order by Bernstein operational matrix. Zbl 1518.65079 Taleshian, Amir Hosein; Alipour, Mohsen; Babakhani, Azizollah; Baleanu, Dumitru 1 2022 Existence and controllability of a class of non-autonomous nonlinear evolution fractional integrodifferential equations with delay. Zbl 1510.34168 Mishra, Kamla Kant; Dubey, Shruti; Baleanu, Dumitru 1 2022 Swarming optimization to analyze the fractional derivatives and perturbation factors for the novel singular model. Zbl 1508.65068 Sabir, Zulqurnain; Said, Salem Ben; Baleanu, Dumitru 1 2022 A novel computing stochastic algorithm to solve the nonlinear singular periodic boundary value problems. Zbl 1513.65010 Sabir, Zulqurnain; Baleanu, Dumitru; Ali, Mohamed R.; Sadat, R. 1 2022 Projectile motion using three parameter Mittag-Leffler function calculus. Zbl 07487702 Bokhari, Ahmed; Belgacem, Rachid; Kumar, Sunil; Baleanu, Dumitru; Djilali, Salih 1 2022 Regularization of the inverse problem for time fractional pseudo-parabolic equation with non-local in time conditions. Zbl 1509.35356 Phuong, Nguyen Duc; Long, Le Dinh; Nguyen, Anh Tuan; Baleanu, Dumitru 1 2022 On Ritz approximation for a class of fractional optimal control problems. Zbl 1516.49026 Firoozjaee, Mohammad Arab; Jafari, Hossein; Johnston, Sarah Jane; Baleanu, Dumitru 1 2022 A new existence results on fractional differential inclusions with state-dependent delay and Mittag-Leffler kernel in Banach space. Zbl 07660086 Arjunan, Mani Mallika; Kavitha, Velusamy; Baleanu, Dumitru 1 2022 Positivity analysis for the discrete delta fractional differences of the Riemann-Liouville and Liouville-Caputo types. Zbl 1528.26008 Mohammed, Pshtiwan Othman; Srivastava, Hari Mohan; Baleanu, Dumitru; Elattar, Ehab E.; Hamed, Y. S. 1 2022 Lie group theory for nonlinear fractional \(K(m, n)\) type equation with variable coefficients. Zbl 1479.35736 Jafari, H.; Kadkhoda, N.; Baleanu, Dumitru 1 2022 The Caputo-Fabrizio time-fractional Sharma-Tasso-Olver-Burgers equation and its valid approximations. Zbl 1511.35366 Hosseini, Kamyar; Ilie, Mousa; Mirzazadeh, Mohammad; Baleanu, Dumitru; Park, Choonkil; Salahshour, Soheil 1 2022 Some new dynamic Gronwall-Bellman-Pachpatte type inequalities with delay on time scales and certain applications. Zbl 1506.26027 El-Deeb, Ahmed A.; Baleanu, Dumitru 1 2022 Hyperchaotic behaviors, optimal control, and synchronization of a nonautonomous cardiac conduction system. Zbl 1494.34137 Baleanu, Dumitru; Sajjadi, Samaneh Sadat; Asad, Jihad H.; Jajarmi, Amin; Estiri, Elham 55 2021 On a nonlinear dynamical system with both chaotic and nonchaotic behaviors: a new fractional analysis and control. Zbl 1494.34138 Baleanu, Dumitru; Sajjadi, Samaneh Sadat; Jajarmi, Amin; Defterli, Özlem 47 2021 A nonstandard finite difference scheme for the modeling and nonidentical synchronization of a novel fractional chaotic system. Zbl 1494.65060 Baleanu, Dumitru; Zibaei, Sadegh; Namjoo, Mehran; Jajarmi, Amin 32 2021 Discrete fractional calculus for interval-valued systems. Zbl 1464.39007 Huang, Lan-Lan; Wu, Guo-Cheng; Baleanu, Dumitru; Wang, Hong-Yong 26 2021 A spectral collocation method for solving fractional KdV and KdV-Burgers equations with non-singular kernel derivatives. Zbl 1457.76114 Khader, M. M.; Saad, Khaled M.; Hammouch, Zakia; Baleanu, Dumitru 20 2021 Fractional calculus in the sky. Zbl 1494.26007 Baleanu, Dumitru; Agarwal, Ravi P. 18 2021 Terminal value problems for the nonlinear systems of fractional differential equations. Zbl 1482.65109 Shiri, Babak; Wu, Guo-Cheng; Baleanu, Dumitru 18 2021 Classes of operators in fractional calculus: a case study. Zbl 1517.26006 Fernandez, Arran; Baleanu, Dumitru 17 2021 An analytic study on the approximate solution of a nonlinear time-fractional Cauchy reaction-diffusion equation with the Mittag-Leffler law. Zbl 1471.35301 Hosseini, Kamyar; Ilie, Mousa; Mirzazadeh, Mohammad; Baleanu, Dumitru 15 2021 An effective computational method to deal with a time-fractional nonlinear water wave equation in the Caputo sense. Zbl 07428957 Hosseini, Kamyar; Ilie, Mousa; Mirzazadeh, Mohammad; Yusuf, Abdullahi; Sulaiman, Tukur Abdulkadir; Baleanu, Dumitru; Salahshour, Soheil 13 2021 Existence and Hyers-Ulam type stability results for nonlinear coupled system of Caputo-Hadamard type fractional differential equations. Zbl 1484.34035 Muthaiah, Subramanian; Baleanu, Dumitru; Thangaraj, Nandha Gopal 13 2021 Analysis of the fractional corona virus pandemic via deterministic modeling. Zbl 1472.34097 Tuan, Nguyen Huy; Tri, Vo Viet; Baleanu, Dumitru 13 2021 Quasi-periodic, chaotic and travelling wave structures of modified Gardner equation. Zbl 1498.35455 Jhangeer, Adil; Hussain, Amjad; Junaid-U-Rehman, M.; Baleanu, Dumitru; Riaz, Muhammad Bilal 12 2021 A class of time-fractional Dirac type operators. Zbl 1505.47050 Baleanu, Dumitru; Restrepo, Joel E.; Suragan, Durvudkhan 12 2021 A novel modeling of boundary value problems on the glucose graph. Zbl 1466.92244 Baleanu, Dumitru; Etemad, Sina; Mohammadi, Hakimeh; Rezapour, Shahram 12 2021 SIR epidemic model of childhood diseases through fractional operators with Mittag-Leffler and exponential kernels. Zbl 1524.92096 Jena, Rajarama Mohan; Chakraverty, Snehashish; Baleanu, Dumitru 12 2021 On quantum hybrid fractional conformable differential and integral operators in a complex domain. Zbl 1468.30041 Ibrahim, Rabha W.; Baleanu, Dumitru 11 2021 On the approximate solutions for a system of coupled Korteweg-de Vries equations with local fractional derivative. Zbl 07465612 Jafari, Hossein; Jassim, Hassan Kamil; Baleanu, Dumitru; Chu, Yu-Ming 11 2021 Fractional Mayer neuro-swarm heuristic solver for multi-fractional order doubly singular model based on Lane-Emden equation. Zbl 1481.65104 Sabir, Zulqurnain; Raja, Muhammad Asif Zahoor; Baleanu, Dumitru 11 2021 Pattern formation in superdiffusion predator-prey-like problems with integer- and noninteger-order derivatives. Zbl 1475.35360 Owolabi, Kolade M.; Karaagac, Berat; Baleanu, Dumitru 10 2021 Some exact solutions of a variable coefficients fractional biological population model. Zbl 1475.35345 Abdel Kader, Abass H.; Abdel Latif, Mohamed S.; Baleanu, Dumitru 10 2021 An efficient numerical scheme based on Lucas polynomials for the study of multidimensional Burgers-type equations. Zbl 1487.65162 Ali, Ihteram; Haq, Sirajul; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru 9 2021 General Raina fractional integral inequalities on coordinates of convex functions. Zbl 1487.26030 Baleanu, Dumitru; Kashuri, Artion; Mohammed, Pshtiwan Othman; Meftah, Badreddine 9 2021 Achieving more precise bounds based on double and triple integral as proposed by generalized proportional fractional operators in the Hilfer sense. Zbl 1481.26004 Al-Qurashi, Maysaa; Rashid, Saima; Karaca, Yeliz; Hammouch, Zakia; Baleanu, Dumitru; Chu, Yu-Ming 9 2021 Approximation of fixed point and its application to fractional differential equation. Zbl 1475.54030 Khatoon, Sabiya; Uddin, Izhar; Baleanu, Dumitru 8 2021 Analysis and applications of the proportional Caputo derivative. Zbl 1494.26004 Akgül, Ali; Baleanu, Dumitru 8 2021 Bivariate Chebyshev polynomials of the fifth kind for variable-order time-fractional partial integro-differential equations with weakly singular kernel. Zbl 1494.65104 Sadri, Khadijeh; Hosseini, Kamyar; Baleanu, Dumitru; Ahmadian, Ali; Salahshour, Soheil 8 2021 Henry-Gronwall type \(q\)-fractional integral inequalities. Zbl 1470.39018 Ben Makhlouf, Abdellatif; Kharrat, Mohamed; Hammami, Mohamed Ali; Baleanu, Dumitru 8 2021 Shifted ultraspherical pseudo-Galerkin method for approximating the solutions of some types of ordinary fractional problems. Zbl 1494.65064 Abdelhakem, Mohamed; Mahmoud, Doha; Baleanu, Dumitru; El-kady, Mamdouh 7 2021 Existence, uniqueness and stability analysis of a coupled fractional-order differential systems involving Hadamard derivatives and associated with multi-point boundary conditions. Zbl 1494.34060 Subramanian, Muthaiah; Alzabut, Jehad; Baleanu, Dumitru; Samei, Mohammad Esmael; Zada, Akbar 7 2021 Optimal solutions for singular linear systems of Caputo fractional differential equations. Zbl 1478.34007 Dassios, Ioannis; Baleanu, Dumitru 7 2021 Collision phenomena among lump, periodic and soliton solutions to a (2+1)-dimensional Bogoyavlenskii’s breaking soliton model. Zbl 07409584 Ullah, Mohammad Safi; Zulfikar Ali, M.; Roshid, Harun-Or; Seadawy, A. R.; Baleanu, Dumitru 7 2021 Criteria for existence of solutions for a Liouville-Caputo boundary value problem via generalized Gronwall’s inequality. Zbl 1504.34012 Mohammadi, Hakimeh; Baleanu, Dumitru; Etemad, Sina; Rezapour, Shahram 7 2021 A fractal fractional model for cervical cancer due to human papillomavirus infection. Zbl 1489.37103 Akgül, A.; Ahmed, N.; Raza, A.; Iqbal, Z.; Rafiq, M.; Rehman, M. A.; Baleanu, D. 7 2021 New Newton’s type estimates pertaining to local fractional integral via generalized \(p\)-convexity with applications. Zbl 1487.26011 Li, Yong-Min; Rashid, Saima; Hammouch, Zakia; Baleanu, Dumitru; Chu, Yu-Ming 7 2021 Design of neuro-swarming heuristic solver for multi-pantograph singular delay differential equation. Zbl 1481.65098 Sabir, Zulqurnain; Baleanu, Dumitru; Raja, Muhammad Asif Zahoor; Guirao, Juan L. G. 7 2021 An efficient computational approach for local fractional Poisson equation in fractal media. Zbl 07776024 Singh, Jagdev; Ahmadian, Ali; Rathore, Sushila; Kumar, Devendra; Baleanu, Dumitru; Salimi, Mehdi; Salahshour, Soheil 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 1512.26006 Wang, Miao-Kun; Rashid, Saima; Karaca, Yeliz; Baleanu, Dumitru; Chu, Yu-Ming 6 2021 Identifying the source function for time fractional diffusion with non-local in time conditions. Zbl 1476.35113 Luc, Nguyen Hoang; Baleanu, Dumitru; Agarwal, Ravi P.; Long, Le Dinh 5 2021 A Razumikhin approach to stability and synchronization criteria for fractional order time delayed gene regulatory networks. Zbl 1484.34172 Anbalagan, Pratap; Hincal, Evren; Ramachandran, Raja; Baleanu, Dumitru; Cao, Jinde; Niezabitowski, Michal 5 2021 Applications of Gudermannian neural network for solving the SITR fractal system. Zbl 1514.92160 Sabir, Zulqurnain; Umar, Muhammad; Raja, Muhammad Asif Zahoor; Baleanu, Dumitru 5 2021 On a combination of fractional differential and integral operators associated with a class of normalized functions. Zbl 1525.30011 Ibrahim, Rabha W.; Baleanu, Dumitru 5 2021 Periodic and rogue waves for Heisenberg models of ferromagnetic spin chains with fractional beta derivative evolution and obliqueness. Zbl 1500.82006 Uddin, M. Farhad; Hafez, M. Golam; Hammouch, Zakia; Baleanu, Dumitru 5 2021 Mathematical analysis of tuberculosis control model using nonsingular kernel type Caputo derivative. Zbl 1485.92108 Ahmad, Saeed; Ullah, Rafi; Baleanu, Dumitru 5 2021 Analysis of time-fractional dynamical model of romantic and interpersonal relationships with non-singular kernels: a comparative study. Zbl 1470.91210 Jena, Rajarama Mohan; Chakraverty, Snehashish; Baleanu, Dumitru; Jena, Subrat Kumar 5 2021 Existence and uniqueness of solutions for a nabla fractional boundary value problem with discrete Mittag-Leffler kernel. Zbl 1481.39013 Jonnalagadda, Jagan Mohan; Baleanu, Dumitru 4 2021 New iterative approach for the solutions of fractional order inhomogeneous partial differential equations. Zbl 1484.65285 Zada, Laiq; Nawaz, Rashid; Ahsan, Sumbal; Nisar, Kottakkaran Sooppy; Baleanu, Dumitru 4 2021 A new approach on the modelling, chaos control and synchronization of a fractional biological oscillator. Zbl 1487.92004 Alshomrani, Ali Saleh; Ullah, Malik Zaka; Baleanu, Dumitru 4 2021 Delay-coupled fractional order complex Cohen-Grossberg neural networks under parameter uncertainty: synchronization stability criteria. Zbl 1525.34013 Anbalagan, Pratap; Hincal, Evren; Ramachandran, Raja; Baleanu, Dumitru; Cao, Jinde; Huang, Chuangxia; Niezabitowski, Michal 4 2021 Dynamics of pattern formation process in fractional-order super-diffusive processes: a computational approach. Zbl 1498.92005 Owolabi, Kolade M.; Karaagac, Berat; Baleanu, Dumitru 4 2021 Dynamics and numerical investigations of a fractional-order model of toxoplasmosis in the population of human and cats. Zbl 1498.92278 Zafar, Zain Ul Abadin; Ali, Nigar; Baleanu, Dumitru 4 2021 On the weighted fractional integral inequalities for Chebyshev functionals. Zbl 1485.26048 Rahman, Gauhar; Nisar, Kottakkaran Sooppy; Khan, Sami Ullah; Baleanu, Dumitru; Vijayakumar, V. 4 2021 A new fractional SICA model and numerical method for the transmission of HIV/AIDS. Zbl 1470.92357 Ullah, Malik Zaka; Baleanu, Dumitru 4 2021 New aspects of fractional Bloch model associated with composite fractional derivative. Zbl 1469.82039 Singh, Jagdev; Kumar, Devendra; 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 1475.65062 Aghdam, Yones Esmaeelzade; Safdari, Hamid; Azari, Yaqub; Jafari, Hossein; Baleanu, Dumitru 3 2021 A new integral operational matrix with applications to multi-order fractional differential equations. Zbl 1484.34067 Talib, Imran; Alam, Md. Nur; Baleanu, Dumitru; Zaidi, Danish; Marriyam, Ammarah 3 2021 Hermite-Hadamard-Fejer type inequalities via fractional integral of a function concerning another function. Zbl 1484.26047 Baleanu, Dumitru; Samraiz, Muhammad; Perveen, Zahida; Iqbal, Sajid; Nisar, Kottakkaran Sooppy; Rahman, Gauhar 3 2021 Hilfer fractional neutral stochastic differential equations with non-instantaneous impulses. Zbl 1484.34169 Kasinathan, Ramkumar; Kasinathan, Ravikumar; Baleanu, Dumitru; Annamalai, Anguraj 3 2021 The analytical analysis of nonlinear fractional-order dynamical models. Zbl 1484.65284 Xu, 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 1487.35401 Farooq, Umar; Khan, Hassan; Tchier, Fairouz; Hincal, Evren; Baleanu, Dumitru; Bin Jebreen, Haifa 3 2021 The (2+1)-dimensional hyperbolic nonlinear Schrödinger equation and its optical solitons. Zbl 1525.37078 Baleanu, Dumitru; Hosseini, Kamyar; Salahshour, Soheil; Sadri, Khadijeh; Mirzazadeh, Mohammad; Park, Choonkil; Ahmadian, Ali 3 2021 Simulating the joint impact of temporal and spatial memory indices via a novel analytical scheme. Zbl 1518.65118 Jaradat, Imad; Alquran, Marwan; Sivasundaram, Seenith; Baleanu, Dumitru 3 2021 ...and 769 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 9,157 Authors 568 Băleanu, Dumitru I. 223 Abdeljawad, Thabet 142 Rezapour, Shahram 125 Ahmad, Bashir 110 Sooppy Nisar, Kottakkaran 105 Ntouyas, Sotiris K. 97 Jarad, Fahd 93 Gómez-Aguilar, José Francisco 86 Shah, Kamal 84 Machado, José António Tenreiro 81 Chu, Yuming 76 Agarwal, Ravi P. 71 Etemad, Sina 70 Atangana, Abdon 69 Inc, Mustafa 67 Nieto Roig, Juan Jose 66 Al-saedi, Ahmed Eid Salem 65 Agarwal, Praveen 63 Akgül, Ali 61 Alzabut, Jehad O. 57 Rashid, Saima 57 Yang, Xiao-Jun 56 Jafari, Hossein 56 Kumar, Devendra 54 Benchohra, Mouffak 52 Salahshour, Soheil 52 Singh, Jagdev 52 Torres, Delfim Fernando Marado 51 O’Regan, Donal 49 Farid, Ghulam 49 Wang, Guotao 48 Khan, Aziz Ullah 46 Bhrawy, Ali Hassan 45 Khan, Hasib 45 Srivastava, Hari Mohan 45 Tariboon, Jessada 45 Zhou, Yong 43 Wang, Jinrong 42 Rahman, Gauhar 41 Ahmadian, Ali 40 Samei, Mohammad Esmael 40 Wu, Guocheng 39 Momani, Shaher M. 38 Fernandez, Arran 37 Kumar, Sunil 37 Ordokhani, Yadollah 37 Vijayakumar, Velusamy 36 Zada, Akbar 35 Abdo, Mohammed Salem 35 Almeida, Ricardo 35 Yusuf, Abdullahi A. 34 Owolabi, Kolade Matthew 34 Zhang, Lihong 33 Baskonus, Haci Mehmet 32 Hammouch, Zakia 32 Razzaghi, Mohsen 31 Kumam, Poom 30 Doha, Eid H. 29 Abdelkawy, Mohamed A. 29 Li, Changpin 29 Nguyen Huy Tuan 29 Purohit, Sunil Dutt 29 Sitthiwirattham, Thanin 28 Al-Smadi, Mohammed H. 28 Golmankhaneh, Alireza Khalili 28 Liu, Fawang 28 Mohammed, Pshtiwan Othman 28 Zaky, Mahmoud A. 27 Al-Omari, Shrideh Khalaf Qasem 27 Cattani, Carlo 27 Debbouche, Amar 27 Ibrahim, Rabha Waell 27 Ouannas, Adel 26 Saad, Khaled Mohammed 26 Veeresha, Pundikala 25 Abbas, Said 25 Cao, Jinde 25 Heydari, Mohammad Hossein 25 Zhang, Yi 24 Hashemi, Mir Sajjad 24 Khan, Ilyas 24 Kiliçman, Adem 24 Lopes, António M. 24 Ravichandran, Chokkalingam 23 Avazzadeh, Zakieh 23 Ezz-Eldien, Samer S. 23 Khan, Muhammad Altaf 23 Muslih, Sami I. 23 Ngo Van Hoa 23 Saha Ray, Santanu 22 Budak, Hüseyin 22 Chen, Yangquan 22 Dehghan Takht Fooladi, Mehdi 22 Ghanbari, Behzad 22 Khater, Mostafa M. A. 22 Mohammadi, Hakimeh 22 Rezazadeh, Hadi 22 Seadawy, Aly R. 22 Sun, Hongguang 22 Trujillo, Juan J. ...and 9,057 more Authors all top 5 Cited in 469 Serials 917 Advances in Difference Equations 454 Chaos, Solitons and Fractals 311 Fractals 264 Mathematical Methods in the Applied Sciences 248 Applied Mathematics and Computation 216 International Journal of Applied and Computational Mathematics 210 Abstract and Applied Analysis 171 Computational and Applied Mathematics 171 AIMS Mathematics 167 Journal of Function Spaces 165 Communications in Nonlinear Science and Numerical Simulation 163 Fractional Calculus & Applied Analysis 143 Journal of Computational and Applied Mathematics 143 Nonlinear Dynamics 125 Mathematical Problems in Engineering 122 Boundary Value Problems 114 Computers & Mathematics with Applications 111 Journal of Inequalities and Applications 109 Advances in Mathematical Physics 106 Physica A 89 Mathematics and Computers in Simulation 79 Applied Numerical Mathematics 79 Journal of Applied Mathematics and Computing 78 Discrete and Continuous Dynamical Systems. 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