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: http://www.intechopen.com/profiles/105623/Dumitru-Baleanu External Links: arXiv · Google Scholar · ResearchGate · dblp · GND Documents Indexed: 962 Publications since 1990, including 5 Books 31 Contributions as Editor Co-Authors: 866 Co-Authors with 973 Joint Publications 15,309 Co-Co-Authors all top 5 Co-Authors 18 single-authored 45 Rezapour, Shahram 37 Inc, Mustafa 35 Abdeljawad, Thabet 35 Wu, Guocheng 30 Jafari, Hossein 29 Muslih, Sami I. 28 Sooppy Nisar, Kottakkaran 28 Yang, Xiao-Jun 27 Salahshour, Soheil 26 Jarad, Fahd 26 Machado, José António Tenreiro 24 Bhrawy, Ali Hassan 24 Golmankhaneh, Alireza Khalili 24 Yusuf, Abdullahi A. 23 Jajarmi, Amin 21 Kumar, Devendra 20 Agarwal, Ravi P. 20 Singh, Jagdev 19 Aliyu, Aliyu Isa 18 Srivastava, Hari Mohan 17 Doha, Eid H. 17 Rabei, Eqab M. 16 Arjunan, Mani Mallika 15 Alshomrani, Ali Saleh 15 Mustafa, Octavian G. 14 Ahmadian, Ali 14 Chu, Yuming 14 Mohammadi, Hakimeh 14 Purohit, Sunil Dutt 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 Hosseini, Kamyar 11 Nguyen Huy Tuan 11 O’Regan, Donal 10 Ahmed, Nauman 10 Can, Nguyen Huu 10 Gómez-Aguilar, José Francisco 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 Long, Le Dinh 9 Rashid, Saima 9 Ugurlu, Ekin 9 Zeng, Shengda 8 Abbas, Muhammad Mohsin 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 8 Mirzazadeh, Mohammad 8 Mustafa, Ghulam 8 Rehman, Muhammad Aziz-Ur 8 Sabir, Zulqurnain 8 Shiri, Babak 7 Abdelkawy, Mohamed A. 7 Agrawal, Om Prakash 7 Atangana, Abdon 7 Babakhani, Azizollah 7 Dinç, Erdal 7 Hafez, Ramy Mahmoud 7 Jafarian, Ahmad 7 Jaradat, Imad 7 Karaca, Yeliz 7 Luc, Nguyen Hoang 7 Mohammed, Pshtiwan Othman 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 Alquran, Marwan Taiseer 6 Darzi, Rahmat 6 Dassios, Ioannis K. 6 Debbouche, Amar 6 Ghanbari, Behzad 6 Khater, Mostafa M. A. 6 Kumar, Sunil 6 Osman, Mohamed Sayed Ali 6 Phuong, Nguyen Duc 6 Saad, Khaled Mohammed 6 Sajjadi, Samaneh Sadat 6 Saker, Samir H. ...and 769 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 26 Fractals 25 Nonlinear Dynamics 21 Applied Mathematics and Computation 20 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 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 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 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 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 Qualitative Theory of Dynamical Systems 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 1 Kybernetika 1 Quaestiones Mathematicae ...and 53 more Serials all top 5 Fields 387 Ordinary differential equations (34-XX) 383 Real functions (26-XX) 274 Partial differential equations (35-XX) 218 Numerical analysis (65-XX) 88 Biology and other natural sciences (92-XX) 85 Operator theory (47-XX) 70 Integral equations (45-XX) 51 Special functions (33-XX) 51 Mechanics of particles and systems (70-XX) 49 Systems theory; control (93-XX) 45 Dynamical systems and ergodic theory (37-XX) 43 Difference and functional equations (39-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 30 Quantum theory (81-XX) 29 General and overarching topics; collections (00-XX) 25 Integral transforms, operational calculus (44-XX) 23 Fluid mechanics (76-XX) 22 Mechanics of deformable solids (74-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) 17 Probability theory and stochastic processes (60-XX) 16 Statistical mechanics, structure of matter (82-XX) 15 Computer science (68-XX) 15 Optics, electromagnetic theory (78-XX) 14 Approximations and expansions (41-XX) 14 Functional analysis (46-XX) 12 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) 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 Mathematical logic and foundations (03-XX) 4 Number theory (11-XX) 3 Classical thermodynamics, heat transfer (80-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) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 840 Publications have been cited 16,767 times in 7,509 Documents Cited by ▼ Year ▼ Fractional calculus. Models and numerical methods. Zbl 1248.26011Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J. 767 2012 A new collection of real world applications of fractional calculus in science and engineering. Zbl 1509.26005Sun, HongGuang; Zhang, Yong; Baleanu, Dumitru; Chen, Wen; Chen, YangQuan 285 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 211 2020 Discrete fractional logistic map and its chaos. Zbl 1281.34121Wu, Guo-Cheng; Baleanu, Dumitru 188 2014 Caputo-type modification of the Hadamard fractional derivatives. Zbl 1346.26002Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru 154 2012 On a new class of fractional operators. Zbl 1422.26004Jarad, Fahd; Uğurlu, Ekin; Abdeljawad, Thabet; Baleanu, Dumitru 137 2017 Some existence results on nonlinear fractional differential equations. Zbl 1342.34009Baleanu, Dumitru; Rezapour, Shahram; Mohammadi, Hakimeh 134 2013 New properties of conformable derivative. Zbl 1354.26008Atangana, Abdon; Baleanu, Dumitru; Alsaedi, Ahmed 128 2015 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 122 2010 A Hamiltonian formulation and a direct numerical scheme for fractional optimal control problems. Zbl 1182.70047Agrawal, Om. P.; Baleanu, Dumitru 121 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. 119 2015 Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems. Zbl 1228.45013Debbouche, Amar; Baleanu, Dumitru 117 2011 On the existence of solutions for some infinite coefficient-symmetric Caputo-fabrizio fractional integro-differential equations. Zbl 1377.45004Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram 113 2017 A hybrid Caputo fractional modeling for thermostat with hybrid boundary value conditions. Zbl 1495.34006Baleanu, Dumitru; Etemad, Sina; Rezapour, Shahram 112 2020 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. 111 2019 Integration by parts and its applications of a new nonlocal fractional derivative with Mittag-Leffler nonsingular kernel. Zbl 1412.47086Abdeljawad, Thabet; Baleanu, Dumitru 109 2017 Lagrangian formulation of classical fields within Riemann-Liouville fractional derivatives. Zbl 1122.70360Baleanu, Dumitru; Muslih, Sami I. 107 2005 On fractional derivatives with exponential kernel and their discrete versions. Zbl 1384.26025Abdeljawad, Thabet; Baleanu, Dumitru 106 2017 Stability analysis of Caputo fractional-order nonlinear systems revisited. Zbl 1243.93081Delavari, Hadi; Baleanu, Dumitru; Sadati, Jalil 106 2012 On the global existence of solutions to a class of fractional differential equations. Zbl 1189.34006Băleanu, Dumitru; Mustafa, Octavian G. 103 2010 On fractional integro-differential inclusions via the extended fractional Caputo-Fabrizio derivation. Zbl 07634223Baleanu, Dumitru; Rezapour, Shahram; Saberpour, Zohreh 103 2019 On Caputo modification of the Hadamard fractional derivatives. Zbl 1343.26002Gambo, Yusuf Y.; Jarad, Fahd; Baleanu, Dumitru; Abdeljawad, Thabet 97 2014 Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels. Zbl 1419.34211Abdeljawad, Thabet; Baleanu, Dumitru 97 2016 On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations. Zbl 1422.34019Aydogan, S. Melike; Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram 97 2017 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 97 2020 On the generalized fractional derivatives and their Caputo modification. Zbl 1412.26006Jarad, F.; Abdeljawad, T.; Baleanu, D. 96 2017 On some new properties of fractional derivatives with Mittag-Leffler kernel. Zbl 1510.34004Baleanu, Dumitru; Fernandez, Arran 94 2018 Local fractional integral transforms and their applications. Zbl 1336.44001Yang, Xiao-Jun; Baleanu, Dumitru; Srivastava, H. M. 90 2016 A central difference numerical scheme for fractional optimal control problems. Zbl 1272.49068Baleanu, Dumitru; Defterli, Ozlem; Agrawal, Om P. 88 2009 The Hamilton formalism with fractional derivatives. Zbl 1104.70012Rabei, Eqab M.; Nawafleh, Khaled I.; Hijjawi, Raed S.; Muslih, Sami I.; Baleanu, Dumitru 87 2007 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 84 2012 Fractional Hamiltonian formalism within Caputo’s derivative. Zbl 1111.37304Baleanu, Dumitru; Agrawal, Om. P. 80 2006 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 76 2017 New variable-order fractional chaotic systems for fast image encryption. Zbl 1420.34028Wu, Guo-Cheng; Deng, Zhen-Guo; Baleanu, Dumitru; Zeng, De-Qiang 76 2019 Chaos synchronization of fractional chaotic maps based on the stability condition. Zbl 1400.34107Wu, Guo-Cheng; Baleanu, Dumitru; Xie, He-Ping; Chen, Fu-Lai 74 2016 Fractional differences and integration by parts. Zbl 1225.39008Abdeljawad, Thabet; Baleanu, Dumitru 74 2011 On high order fractional integro-differential equations including the Caputo-Fabrizio derivative. Zbl 1499.34400Aydogan, Melike S.; Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram 74 2018 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 73 2016 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 73 2008 An existence result for a superlinear fractional differential equation. Zbl 1200.34004Băleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P. 70 2010 Caputo \(q\)-fractional initial value problems and a \(q\)-analogue Mittag-Leffler function. Zbl 1231.26006Abdeljawad, Thabet; Baleanu, Dumitru 70 2011 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 70 2019 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 69 2018 Fractional calculus. Models and numerical methods. 2nd expanded edition. Zbl 1347.26006Baleanu, Dumitru; Diethelm, Kai; Scalas, Enrico; Trujillo, Juan J. 69 2017 Lyapunov functions for Riemann-Liouville-like fractional difference equations. Zbl 1426.39010Wu, Guo-Cheng; Baleanu, Dumitru; Luo, Wei-Hua 69 2017 On an accurate discretization of a variable-order fractional reaction-diffusion equation. Zbl 1509.65071Hajipour, Mojtaba; Jajarmi, Amin; Baleanu, Dumitru; Sun, HongGuang 67 2019 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 66 2016 Analysis of regularized long-wave equation associated with a new fractional operator with Mittag-Leffler type kernel. Zbl 1514.35463Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru; Sushila 66 2018 Stability of \(q\)-fractional non-autonomous systems. Zbl 1258.34014Jarad, Fahd; Abdeljawad, Thabet; Baleanu, Dumitru 64 2013 Fractional Bloch equation with delay. Zbl 1217.34123Bhalekar, Sachin; Daftardar-Gejji, Varsha; Baleanu, Dumitru; Magin, Richard 64 2011 A new fractional modelling and control strategy for the outbreak of dengue fever. Zbl 07571256Jajarmi, Amin; Arshad, Sadia; Baleanu, Dumitru 64 2019 Analyzing transient response of the parallel RCL circuit by using the Caputo-Fabrizio fractional derivative. Zbl 1487.94202Alizadeh, Shahram; Baleanu, Dumitru; Rezapour, Shahram 64 2020 A new fractional analysis on the interaction of HIV with \(\text{CD4}^+\) T-cells. Zbl 1404.92117Jajarmi, Amin; Baleanu, Dumitru 63 2018 On the analysis of vibration equation involving a fractional derivative with Mittag-Leffler law. Zbl 1442.35515Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru 63 2020 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 62 2013 New aspects of fractional Biswas-Milovic model with Mittag-Leffler law. Zbl 1423.35415Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru 62 2019 On Cauchy problems with Caputo Hadamard fractional derivatives. Zbl 1336.34010Adjabi, Y.; Jarad, F.; Baleanu, D.; Abdeljawad, T. 60 2016 Monotonicity results for fractional difference operators with discrete exponential kernels. Zbl 1422.39048Abdeljawad, Thabet; Baleanu, Dumitru 60 2017 A new fractional model for giving up smoking dynamics. Zbl 1422.34062Singh, Jagdev; Kumar, Devendra; Al Qurashi, Maysaa; Baleanu, Dumitru 60 2017 On exact solutions of a class of fractional Euler-Lagrange equations. Zbl 1170.70328Baleanu, Dumitru; Trujillo, Juan J. 59 2008 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 58 2015 Existence and uniqueness results for fractional differential equations with uncertainty. Zbl 1350.34011Salahshour, S.; Allahviranloo, T.; Abbasbandy, S.; Baleanu, D. 58 2012 An efficient numerical algorithm for the fractional Drinfeld-Sokolov-Wilson equation. Zbl 1427.65324Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru; Rathore, Sushila 58 2018 Fractional modeling of blood ethanol concentration system with real data application. Zbl 1406.92325Qureshi, Sania; Yusuf, Abdullahi; Shaikh, Asif Ali; Inc, Mustafa; Baleanu, Dumitru 58 2019 LMI-based stabilization of a class of fractional-order chaotic systems. Zbl 1268.93121Faieghi, Mohammadreza; Kuntanapreeda, Suwat; Delavari, Hadi; Baleanu, Dumitru 55 2013 Fractional optimal control problems with several state and control variables. Zbl 1269.49002Agrawal, Om P.; Defterli, Ozlem; Baleanu, Dumitru 55 2010 A new approach for solving a system of fractional partial differential equations. Zbl 1381.35221Jafari, H.; Nazari, M.; Baleanu, D.; Khalique, C. M. 55 2013 Variational iteration method for the Burgers’ flow with fractional derivatives – new Lagrange multipliers. Zbl 1438.76046Wu, Guo-Cheng; Baleanu, Dumitru 55 2013 Two fractional derivative inclusion problems via integral boundary condition. Zbl 1338.34048Agarwal, Ravi P.; Baleanu, Dumitru; Hedayati, Vahid; Rezapour, Shahram 54 2015 Chaos analysis and asymptotic stability of generalized Caputo fractional differential equations. Zbl 1374.34306Baleanu, Dumitru; Wu, Guo-Cheng; Zeng, Sheng-Da 53 2017 Discrete chaos in fractional sine and standard maps. Zbl 1331.37048Wu, Guo-Cheng; Baleanu, Dumitru; Zeng, Sheng-Da 53 2014 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 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 1446.34009Baleanu, Dumitru; Mousalou, Asef; Rezapour, Shahram 53 2018 A new approach for solving multi variable orders differential equations with Mittag-Leffler kernel. Zbl 1489.65112Ganji, R. M.; Jafari, H.; Baleanu, D. 53 2020 On nonlinear fractional Klein-Gordon equation. Zbl 1203.94031Golmankhaneh, Alireza K.; Golmankhaneh, Ali K.; Baleanu, Dumitru 52 2011 On shifted Jacobi spectral approximations for solving fractional differential equations. Zbl 1291.65207Doha, 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 1216.34004Băleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P. 51 2010 New exact solutions of Burgers’ type equations with conformable derivative. Zbl 1375.35595Çenesiz, Yücel; Baleanu, Dumitru; Kurt, Ali; Tasbozan, Orkun 51 2017 On fractional calculus with general analytic kernels. Zbl 1428.26011Fernandez, Arran; Özarslan, Mehmet Ali; Baleanu, Dumitru 51 2019 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 51 2018 A new adaptive synchronization and hyperchaos control of a biological snap oscillator. Zbl 1490.92005Sajjadi, Samaneh Sadat; Baleanu, Dumitru; Jajarmi, Amin; Pirouz, Hassan Mohammadi 51 2020 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 50 2016 A spectral Legendre-Gauss-Lobatto collocation method for a space-fractional advection diffusion equations with variable coefficients. Zbl 1292.65109Bhrawy, A. H.; Baleanu, D. 50 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. 50 2014 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 50 2008 On the analysis of fractional diabetes model with exponential law. Zbl 1446.34018Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru 50 2018 A new method of finding the fractional Euler-Lagrange and Hamilton equations within Caputo fractional derivatives. Zbl 1221.34008Baleanu, Dumitru; Trujillo, Juan I. 50 2010 Monotonicity analysis of a nabla discrete fractional operator with discrete Mittag-Leffler kernel. Zbl 1374.26011Abdeljawad, Thabet; Baleanu, Dumitru 49 2017 On the accurate discretization of a highly nonlinear boundary value problem. Zbl 1405.65143Hajipour, Mojtaba; Jajarmi, Amin; Baleanu, Dumitru 49 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 49 2014 The extended Mittag-Leffler function via fractional calculus. Zbl 1412.33039Rahman, Gauhar; Baleanu, Dumitru; Al Qurashi, Maysaa; Purohit, Sunil Dutt; Mubeen, Shahid; Arshad, Muhammad 49 2017 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. 49 2018 On \(L^{p}\)-solutions for a class of sequential fractional differential equations. Zbl 1235.34008Băleanu, Dumitru; Mustafa, Octavian G.; Agarwal, Ravi P. 48 2011 Two efficient generalized Laguerre spectral algorithms for fractional initial value problems. Zbl 1291.65240Baleanu, D.; Bhrawy, A. H.; Taha, T. M. 46 2013 New fractional derivatives with non-singular kernel applied to the Burgers equation. Zbl 1394.35565Saad, Khaled M.; Atangana, Abdon; Baleanu, Dumitru 46 2018 Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions. Zbl 1508.26006Fernandez, Arran; Baleanu, Dumitru; Srivastava, H. M. 46 2019 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 A hybrid computational approach for Klein-Gordon equations on Cantor sets. Zbl 1371.35326Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru 45 2017 A numerical method based on the piecewise Jacobi functions for distributed-order fractional Schrödinger equation. Zbl 07609370Heydari, M. H.; Razzaghi, M.; Baleanu, D. 2 2023 Analysis and some applications of a regularized \(\Psi\)-Hilfer fractional derivative. Zbl 1505.26017Jajarmi, Amin; Baleanu, Dumitru; Sajjadi, Samaneh Sadat; Nieto, Juan J. 8 2022 On time fractional pseudo-parabolic equations with nonlocal integral conditions. Zbl 1497.35503Tuan, Nguyen Anh; O’Regan, Donal; Baleanu, Dumitru; Tuan, Nguyen H. 5 2022 A general fractional pollution model for lakes. Zbl 1513.34331Shiri, Babak; Baleanu, Dumitru 4 2022 On constrained minimization, variational inequality and split feasibility problem via new iteration scheme in Banach spaces. Zbl 1510.47086Garodia, Chanchal; Uddin, Izhar; Baleanu, Dumitru 4 2022 The performance of a numerical scheme on the variable-order time-fractional advection-reaction-subdiffusion equations. Zbl 07533815Kheirkhah, Farnaz; Hajipour, Mojtaba; Baleanu, Dumitru 4 2022 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 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 3 2022 A Taylor-Chebyshev approximation technique to solve the 1D and 2D nonlinear Burgers equations. Zbl 1510.65195Izadi, Mohammad; Yüzbaşı, Şuayip; Baleanu, Dumitru 3 2022 On an extension of the operator with Mittag-Leffler kernel. Zbl 1514.34008Al-Refai, Mohammed; Baleanu, Dumitru 2 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 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 Finite-time stability results for fractional damped dynamical systems with time delays. Zbl 1500.34067Arthi, Ganesan; Brindha, Nallasamy; Baleanu, Dumitru 2 2022 Projectile motion using three parameter Mittag-Leffler function calculus. Zbl 07487702Bokhari, Ahmed; Belgacem, Rachid; Kumar, Sunil; Baleanu, Dumitru; Djilali, Salih 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 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 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 Monic Chebyshev pseudospectral differentiation matrices for higher-order IVPs and BVPs: applications to certain types of real-life problems. Zbl 1513.65230Abdelhakem, M.; Ahmed, A.; Baleanu, D.; El-kady, M. 1 2022 A novel computing stochastic algorithm to solve the nonlinear singular periodic boundary value problems. Zbl 1513.65010Sabir, Zulqurnain; Baleanu, Dumitru; Ali, Mohamed R.; Sadat, R. 1 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 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 Some further properties of discrete Muckenhoupt and Gehring weights. Zbl 1500.26017Saker, 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 1518.65079Taleshian, 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 1510.34168Mishra, Kamla Kant; Dubey, Shruti; Baleanu, Dumitru 1 2022 The Sharma-Tasso-Olver-Burgers equation: its conservation laws and kink solitons. Zbl 1512.35507Hosseini, K.; Akbulut, A.; Baleanu, D.; Salahshour, S. 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 41 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 35 2021 Discrete fractional calculus for interval-valued systems. Zbl 1464.39007Huang, Lan-Lan; Wu, Guo-Cheng; Baleanu, Dumitru; Wang, Hong-Yong 22 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 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 18 2021 Fractional calculus in the sky. Zbl 1494.26007Baleanu, Dumitru; Agarwal, Ravi P. 16 2021 Classes of operators in fractional calculus: a case study. Zbl 1517.26006Fernandez, Arran; Baleanu, Dumitru 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 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 10 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 10 2021 Analysis of the fractional corona virus pandemic via deterministic modeling. Zbl 1472.34097Tuan, Nguyen Huy; Tri, Vo Viet; Baleanu, Dumitru 10 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 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 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 9 2021 On quantum hybrid fractional conformable differential and integral operators in a complex domain. Zbl 1468.30041Ibrahim, Rabha W.; 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 Henry-Gronwall type \(q\)-fractional integral inequalities. Zbl 1470.39018Ben Makhlouf, Abdellatif; Kharrat, Mohamed; Hammami, Mohamed Ali; Baleanu, Dumitru 8 2021 Terminal value problems for the nonlinear systems of fractional differential equations. Zbl 1482.65109Shiri, Babak; Wu, Guo-Cheng; Baleanu, Dumitru 8 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 8 2021 A class of time-fractional Dirac type operators. Zbl 1505.47050Baleanu, Dumitru; Restrepo, Joel E.; Suragan, Durvudkhan 8 2021 General Raina fractional integral inequalities on coordinates of convex functions. Zbl 1487.26030Baleanu, Dumitru; Kashuri, Artion; Mohammed, Pshtiwan Othman; Meftah, Badreddine 8 2021 A novel modeling of boundary value problems on the glucose graph. Zbl 1466.92244Baleanu, Dumitru; Etemad, Sina; Mohammadi, Hakimeh; Rezapour, Shahram 8 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. 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 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 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 Approximation of fixed point and its application to fractional differential equation. Zbl 1475.54030Khatoon, Sabiya; Uddin, Izhar; Baleanu, Dumitru 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 1512.26006Wang, Miao-Kun; Rashid, Saima; Karaca, Yeliz; Baleanu, Dumitru; Chu, Yu-Ming 6 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. 6 2021 Analysis and applications of the proportional Caputo derivative. Zbl 1494.26004Akgül, Ali; Baleanu, Dumitru 6 2021 Some exact solutions of a variable coefficients fractional biological population model. Zbl 1475.35345Abdel Kader, Abass H.; Abdel Latif, Mohamed S.; Baleanu, Dumitru 6 2021 Optimal solutions for singular linear systems of Caputo fractional differential equations. Zbl 1478.34007Dassios, Ioannis; Baleanu, Dumitru 6 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 6 2021 On a combination of fractional differential and integral operators associated with a class of normalized functions. Zbl 07543323Ibrahim, Rabha W.; Baleanu, Dumitru 5 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 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 5 2021 On the weighted fractional integral inequalities for Chebyshev functionals. Zbl 1485.26048Rahman, Gauhar; Nisar, Kottakkaran Sooppy; Khan, Sami Ullah; Baleanu, Dumitru; Vijayakumar, V. 4 2021 Mathematical analysis of tuberculosis control model using nonsingular kernel type Caputo derivative. Zbl 1485.92108Ahmad, Saeed; Ullah, Rafi; Baleanu, Dumitru 4 2021 Applications of Gudermannian neural network for solving the SITR fractal system. Zbl 1514.92160Sabir, Zulqurnain; Umar, Muhammad; Raja, Muhammad Asif Zahoor; 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 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 4 2021 New aspects of fractional Bloch model associated with composite fractional derivative. Zbl 1469.82039Singh, Jagdev; Kumar, Devendra; 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 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 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 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 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 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 3 2021 Fractional unit-root tests allowing for a fractional frequency flexible Fourier form trend: predictability of Covid-19. Zbl 1494.62018Omay, Tolga; Baleanu, Dumitru 3 2021 Caputo SIR model for COVID-19 under optimized fractional order. Zbl 1494.92121Alshomrani, Ali S.; Ullah, Malik Z.; Baleanu, Dumitru 3 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 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 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 3 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 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 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 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 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 3 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 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 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 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 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 Conformable differential operators for meromorphically multivalent functions. Zbl 07427887Ibrahim, Rabha W.; Baleanu, Dumitru; Jahangiri, Jay M. 1 2021 On Cesàro and Copson sequence spaces with weights. Zbl 1504.26085Saker, S. H.; Abuelwafa, Maryam M.; Zidan, Ahmed M.; Baleanu, Dumitru 1 2021 On new general versions of Hermite-Hadamard type integral inequalities via fractional integral operators with Mittag-Leffler kernel. Zbl 1504.26057Kavurmacı Önalan, Havva; Akdemir, Ahmet Ocak; Avcı Ardıç, Merve; Baleanu, Dumitru 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 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 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 ...and 740 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 8,412 Authors 553 Băleanu, Dumitru I. 212 Abdeljawad, Thabet 134 Rezapour, Shahram 123 Ahmad, Bashir 105 Ntouyas, Sotiris K. 99 Sooppy Nisar, Kottakkaran 93 Jarad, Fahd 87 Gómez-Aguilar, José Francisco 84 Machado, José António Tenreiro 79 Chu, Yuming 79 Shah, Kamal 75 Agarwal, Ravi P. 67 Atangana, Abdon 66 Al-saedi, Ahmed Eid Salem 66 Etemad, Sina 60 Inc, Mustafa 58 Nieto Roig, Juan Jose 55 Agarwal, Praveen 55 Akgül, Ali 55 Yang, Xiao-Jun 54 Jafari, Hossein 54 Rashid, Saima 52 Alzabut, Jehad O. 52 Kumar, Devendra 50 Torres, Delfim Fernando Marado 49 Farid, Ghulam 49 O’Regan, Donal 47 Benchohra, Mouffak 47 Khan, Aziz 46 Bhrawy, Ali Hassan 46 Wang, Guotao 45 Tariboon, Jessada 44 Salahshour, Soheil 44 Singh, Jagdev 44 Zhou, Yong 43 Khan, Hasib 43 Wang, Jinrong 40 Rahman, Gauhar 40 Srivastava, Hari Mohan 38 Samei, Mohammad Esmael 37 Wu, Guocheng 36 Ahmadian, Ali 34 Almeida, Ricardo 34 Momani, Shaher M. 33 Abdo, Mohammed Salem 33 Yusuf, Abdullahi A. 33 Zhang, Lihong 32 Ordokhani, Yadollah 32 Owolabi, Kolade Matthew 31 Fernandez, Arran 30 Doha, Eid H. 30 Hammouch, Zakia 30 Zada, Akbar 29 Abdelkawy, Mohamed A. 29 Kumar, Sunil 28 Al-Smadi, Mohammed H. 28 Baskonus, Haci Mehmet 28 Golmankhaneh, Alireza Khalili 28 Kumam, Poom 28 Li, Changpin 28 Sitthiwirattham, Thanin 28 Zaky, Mahmoud A. 27 Liu, Fawang 27 Nguyen Huy Tuan 26 Al-Omari, Shrideh Khalaf Qasem 26 Ibrahim, Rabha Waell 25 Cattani, Carlo 25 Debbouche, Amar 25 Purohit, Sunil Dutt 25 Razzaghi, Mohsen 24 Abbas, Said 24 Heydari, Mohammad Hossien 24 Lopes, António M. 24 Mohammed, Pshtiwan Othman 24 Ouannas, Adel 24 Saad, Khaled Mohammed 23 Ezz-Eldien, Samer S. 23 Khan, Ilyas 23 Khan, Muhammad Altaf 23 Kiliçman, Adem 23 Muslih, Sami I. 23 Ngo Van Hoa 23 Zhang, Yi 22 Avazzadeh, Zakieh 22 Dehghan Takht Fooladi, Mehdi 22 Mohammadi, Hakimeh 22 Trujillo, Juan J. 21 Alquran, Marwan Taiseer 21 Chen, Yangquan 21 Ravichandran, Chokkalingam 21 Sun, Hongguang 21 Veeresha, Pundikala 21 Vijayakumar, Velusamy 20 Cao, Jinde 20 Hashemi, Mir Sajjad 20 Jajarmi, Amin 20 Khan, Rahmat Ali 20 Khater, Mostafa M. A. 20 Noor, Muhammad Aslam 20 Pham, Viet-Thanh ...and 8,312 more Authors all top 5 Cited in 447 Serials 916 Advances in Difference Equations 444 Chaos, Solitons and Fractals 310 Fractals 247 Applied Mathematics and Computation 213 International Journal of Applied and Computational Mathematics 209 Abstract and Applied Analysis 169 AIMS Mathematics 164 Journal of Function Spaces 158 Fractional Calculus & Applied Analysis 155 Computational and Applied Mathematics 148 Communications in Nonlinear Science and Numerical Simulation 140 Journal of Computational and Applied Mathematics 138 Nonlinear Dynamics 125 Mathematical Problems in Engineering 118 Boundary Value Problems 111 Computers & Mathematics with Applications 105 Advances in Mathematical Physics 102 Physica A 93 Journal of Inequalities and Applications 87 Mathematics and Computers in Simulation 79 Applied Numerical Mathematics 77 Journal of Applied Mathematics and Computing 77 Discrete and Continuous Dynamical Systems. 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(English Edition) 11 Hacettepe Journal of Mathematics and Statistics 11 Journal of Mathematical Inequalities ...and 347 more Serials all top 5 Cited in 56 Fields 3,219 Ordinary differential equations (34-XX) 2,662 Real functions (26-XX) 2,058 Partial differential equations (35-XX) 1,771 Numerical analysis (65-XX) 793 Operator theory (47-XX) 724 Biology and other natural sciences (92-XX) 692 Systems theory; control (93-XX) 500 Integral equations (45-XX) 391 Special functions (33-XX) 383 Difference and functional equations (39-XX) 356 Calculus of variations and optimal control; optimization (49-XX) 344 Dynamical systems and ergodic theory (37-XX) 259 Fluid mechanics (76-XX) 210 Probability theory and stochastic processes (60-XX) 184 Integral transforms, operational calculus (44-XX) 157 Statistical mechanics, structure of matter (82-XX) 144 Mechanics of particles and systems (70-XX) 126 Mechanics of deformable solids (74-XX) 119 Measure and integration (28-XX) 107 Approximations and expansions (41-XX) 104 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 101 Information and communication theory, circuits (94-XX) 94 Quantum theory (81-XX) 87 Harmonic analysis on Euclidean spaces (42-XX) 82 Optics, electromagnetic theory (78-XX) 78 General topology (54-XX) 69 Operations research, mathematical programming (90-XX) 67 Computer science (68-XX) 60 Functional analysis (46-XX) 47 Combinatorics (05-XX) 47 Classical thermodynamics, heat transfer (80-XX) 45 Functions of a complex variable (30-XX) 37 Relativity and gravitational theory (83-XX) 33 Number theory (11-XX) 31 Global analysis, analysis on manifolds (58-XX) 25 Differential geometry (53-XX) 23 Geophysics (86-XX) 22 Statistics (62-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 13 Potential theory (31-XX) 12 Sequences, series, summability (40-XX) 10 Abstract harmonic analysis (43-XX) 8 General and overarching topics; collections (00-XX) 6 Topological groups, Lie groups (22-XX) 6 Several complex variables and analytic spaces (32-XX) 5 History and biography (01-XX) 5 Convex and discrete geometry (52-XX) 4 Mathematical logic and foundations (03-XX) 3 Astronomy and astrophysics (85-XX) 3 Mathematics education (97-XX) 2 Algebraic topology (55-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year