ma2dfc swMATH ID: 20918 Software Authors: Podlubny, I. Description: Matrix approach to discretization of ODEs and PDEs of arbitrary real order. Functions illustrating matrix approach to discretization of ODEs / PDEs with fractional derivatives. Homepage: http://www.mathworks.com/matlabcentral/fileexchange/22071-matrix-approach-to-discretization-of-odes-and-pdes-of-arbitrary-real-order Related Software: Matlab; FODE; Fractional Order Chaotic Systems; Mittag-Leffler; DFOC; sysdfod; mlrnd; ML; Ninteger; mlf; CRONE; Adaptative L1 TE and Predictive; Simulink; R; Fractional Variable Order Derivative Simulink; rbf_qr; FracPECE; Algorithm 432; mftoolbox; Fractional Heat Conduction Toolbox Cited in: 215 Publications all top 5 Cited by 378 Authors 9 Atangana, Abdon 9 Sun, Zhizhong 8 Băleanu, Dumitru I. 8 Li, Changpin 7 Owolabi, Kolade Matthew 7 Petras, Ivo 6 Chen, Yangquan 6 Gao, Guanghua 6 Liu, Fawang 5 Doungmo Goufo, Emile Franc 4 Hanert, Emmanuel 4 Khaliq, Abdul Q. M. 4 Liang, Xiao 4 Podlubny, Igor 4 Qu, Haidong 4 Sankaranarayanan, Harish 3 Anh, Vo V. 3 Babolian, Esmail 3 Bäumer, Boris 3 Cao, Wanrong 3 Chen, Hao 3 Cui, Mingrong 3 Dehghan Takht Fooladi, Mehdi 3 Furati, Khaled M. 3 Hao, Zhaopeng 3 Huang, Jianfei 3 Kovács, Mihály 3 Li, Botong 3 Liu, Xuan 3 Lü, Wen 3 Meerschaert, Mark Marvin 3 Saadatmandi, Abbas 3 Sene, Ndolane 3 Sun, Hongguang 3 Wei, LeiLei 3 Zeng, Fanhai 3 Zhang, Guofeng 3 Zhang, Yong 2 Abbaszadeh, Mostafa 2 Aboelenen, Tarek 2 Aceto, Lidia 2 Angstmann, Christopher N. 2 Asad, Jihad H. 2 Benhadj Braiek, Naceur 2 Błaszczyk, Tomasz 2 Bouafoura, Mohamed Karim 2 Cao, Jianxiong 2 Chen, An 2 Ciesielski, Mariusz 2 Coronel-Escamilla, Antonio 2 Di Paola, Mario 2 Ding, Hengfei 2 Donnelly, I. C. 2 El-Raheem, Zaki F. A. 2 Esmaeili, Shahrokh 2 Fernandez, Arran 2 Gholami, Saeid 2 Gómez-Aguilar, José Francisco 2 Gu, Xian-Ming 2 Henry, Bruce I. 2 Jalilian, Reza 2 Javidi, Mohammad 2 Khumalo, Melusi 2 Klimek, Małgorzata 2 Kofané, Timoléon Crépin 2 Liang, Haixia 2 Liu, Xiaoting 2 Macias, Michal 2 Magin, Richard Lloyd 2 Malesza, Wiktor 2 Meng, Yahui 2 Mohammadi, Maryam Beyg 2 Mvogo, Alain 2 Nichols, James A. 2 Pourbabaee, Marzieh 2 Quintana-Murillo, Joaquín 2 Razzaghi, Mohsen 2 Saberi Zafarghandi, Fahimeh 2 Salman, Sanaa Moussa 2 Savostyanov, Dmitry V. 2 She, Zihang 2 Sierociuk, Dominik 2 Skovranek, Tomas 2 Tang, Yifa 2 Terpák, Ján 2 Vinagre Jara, Blas Manuel 2 Wang, Hong 2 Weber, Piotr 2 Xue, Dingyu 2 Yi, Qian 2 Yuste, Santos Bravo 2 Žecová, Monika 2 Zeid, Samaneh Soradi 2 Zeng, Minli 2 Zhang, Tongtong 2 Zhao, Yongliang 1 Abdi-Mazraeh, Somayeh 1 Abdi, Narjes 1 Abdullah Alkanhal, Tawfeeq 1 Abed-Elhameed, Tarek M. ...and 278 more Authors all top 5 Cited in 75 Serials 21 Journal of Computational Physics 12 Computers & Mathematics with Applications 12 Fractional Calculus & Applied Analysis 11 Applied Mathematics and Computation 11 Numerical Algorithms 9 Advances in Difference Equations 8 Journal of Computational and Applied Mathematics 7 Chaos, Solitons and Fractals 7 Communications in Nonlinear Science and Numerical Simulation 6 Abstract and Applied Analysis 5 International Journal of Computer Mathematics 4 Mathematics and Computers in Simulation 4 Applied Numerical Mathematics 4 Computational and Applied Mathematics 4 Mathematical Problems in Engineering 4 Nonlinear Dynamics 4 International Journal of Applied and Computational Mathematics 3 Journal of Scientific Computing 3 Signal Processing 3 Applied Mathematical Modelling 3 Discrete and Continuous Dynamical Systems. Series S 3 Asian Journal of Control 3 Journal of Theoretical Biology 2 Mathematical Methods in the Applied Sciences 2 Mathematics of Computation 2 Numerical Methods for Partial Differential Equations 2 SIAM Journal on Scientific Computing 2 Turkish Journal of Mathematics 2 Journal of Mathematical Chemistry 2 SIAM Journal on Imaging Sciences 2 Advances in Mathematical Physics 2 International Journal of Differential Equations 1 Computers and Fluids 1 International Journal of Control 1 International Journal of Theoretical Physics 1 Physics Letters. A 1 Calcolo 1 Journal of Differential Equations 1 Circuits, Systems, and Signal Processing 1 Computational Mechanics 1 Applied Mathematics Letters 1 Japan Journal of Industrial and Applied Mathematics 1 Automation and Remote Control 1 Journal of Nonlinear Science 1 Journal of the Egyptian Mathematical Society 1 Complexity 1 Journal of Inequalities and Applications 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Chaos 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Matematicheskoe Modelirovanie 1 Computational Methods in Applied Mathematics 1 Journal of Applied Mathematics 1 Journal of Applied Mathematics and Computing 1 Journal of Statistical Mechanics: Theory and Experiment 1 Boundary Value Problems 1 Inverse Problems and Imaging 1 Mathematical Modelling of Natural Phenomena 1 Numerical Mathematics: Theory, Methods and Applications 1 GEM - International Journal on Geomathematics 1 Symmetry 1 Journal of Mathematics and Computer Science. JMCS 1 Afrika Matematika 1 S\(\vec{\text{e}}\)MA Journal 1 Journal of the Operations Research Society of China 1 Mathematical Sciences 1 Journal of Mathematics 1 East Asian Journal on Applied Mathematics 1 Mathematics 1 International Journal of Analysis and Applications 1 Journal of Function Spaces 1 JAMM. Journal of Advanced Mathematical Modeling 1 Computational Methods for Differential Equations 1 AIMS Mathematics 1 Communications on Applied Mathematics and Computation all top 5 Cited in 33 Fields 148 Numerical analysis (65-XX) 112 Partial differential equations (35-XX) 54 Ordinary differential equations (34-XX) 50 Real functions (26-XX) 13 Biology and other natural sciences (92-XX) 12 Fluid mechanics (76-XX) 10 Systems theory; control (93-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Integral equations (45-XX) 9 Information and communication theory, circuits (94-XX) 8 Probability theory and stochastic processes (60-XX) 8 Mechanics of deformable solids (74-XX) 7 Special functions (33-XX) 7 Computer science (68-XX) 6 Difference and functional equations (39-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Mechanics of particles and systems (70-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Operator theory (47-XX) 3 Geophysics (86-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Approximations and expansions (41-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year