Mittag-Leffler swMATH ID: 12626 Software Authors: Igor Podlubny Description: Matlab File Exchange 8738. Mittag-Leffler function: This is a MATLAB routine for evaluating the Mittag-Leffler function with two parameters (sometimes also called generalized exponential function). The Mittag-Leffler function with two parameters plays an important role and appears frequently in solutions of fractional differential equations (i.e. differential equations containing fractional derivatives). Homepage: http://www.mathworks.com/matlabcentral/fileexchange/8738-mittag-leffler-function Dependencies: Matlab Related Software: mlf; Matlab; ML; ma2dfc; mlrnd; mftoolbox; Regularization tools; DFOC; sysdfod; Ninteger; FODE; STABLE; OPQ; Mathematica; FracPECE; SubIval; FOTF Toolbox; Robust Control Toolbox; Simulink; DLMF Cited in: 93 Publications all top 5 Cited by 155 Authors 8 Mainardi, Francesco 7 Wei, Ting 5 Garrappa, Roberto 5 Long, Le Dinh 5 Wang, Jungang 5 Xiong, Xiangtuan 4 Li, Xiaoxiao 4 Nguyen Huy Tuan 4 Povstenko, Yuriy Z. 4 Yang, Fan 3 Băleanu, Dumitru I. 3 Chen, Yangquan 3 Novati, Paolo 3 Popolizio, Marina 3 Xue, Dingyu 3 Yang, Shuping 3 Zhou, Yubin 2 Can, Nguyen Huu 2 Esmaeili, Shahrokh 2 Feng, Xiaoli 2 Gachpazan, Morteza 2 Gorenflo, Rudolf 2 Grigolini, Paolo 2 Han, Yaozong 2 Khan, Junaid Ali 2 Kilbas, Anatoliĭ Aleksandrovich 2 Kirane, Mokhtar 2 Klekot, Joanna 2 Liu, Xiao 2 Luc, Nguyen Hoang 2 Luchko, Yuri 2 Ortigueira, Manuel D. 2 Ott, Curdin 2 Petras, Ivo 2 Podlubny, Igor 2 Qu, Haidong 2 Qureshi, Ijaz Mansoor 2 Raja, Muhammad Asif Zahoor 2 Rogosin, Sergei V. 2 Sowa, Marcin 2 Xue, Xuemin 2 Zare, Marzieh 2 Zhou, Yong 1 Aceto, Lidia 1 Agarwal, Ravi P. 1 Ajeel, Mahmood Shareef 1 Asante-Asamani, E. O. 1 Azaïez, Mejdi 1 Barrick, Thomas R. 1 Bin-Mohsin, Bandar 1 Bohaienko, Vsevolod O. 1 Braga, Joao Paulo 1 Bulavatskyĭ, Volodymyr M. 1 Burrage, Kevin 1 Cardone, Angelamaria 1 Carvalho, F. S. 1 Cui, Mingrong 1 D’Ambrosio, Raffaele 1 Dehghan Takht Fooladi, Mehdi 1 Dehghan, Sina 1 Deng, Zhiliang 1 Dixon, Warren E. 1 Dou, Fangfang 1 Duan, Junsheng 1 Dybiec, Bartłomiej 1 Eslahchi, Mohammad Reza 1 Fan, Bin 1 Fan, Ping 1 Fu, Jun-Liang 1 Fulger, Daniel 1 Garrard, Rhiannon M. 1 Germano, Guido 1 Guido, Maione 1 Hengamian Asl, E. 1 Hoan, Luu Vu Cam 1 Hon, Yiu-Chung 1 Ingo, Carson 1 Iqbal, Sajad 1 Iyiola, Olaniyi Samuel 1 Kelly, James F. 1 Khosravian-Arab, Hassan 1 Kiryakova, Virginia S. 1 Koroleva, Anna A. 1 Kovács, Mihály 1 Kundu, Snehasis 1 Lambert, David E. 1 Larsson, Stig 1 Li, Dungang 1 Li, Peijun 1 Li, Zhuo 1 Ling, Leevan 1 Lischke, Anna 1 Liu, Lu 1 Liu, Xiaoting 1 Liu, Xuan 1 Liu, Yulu 1 Lopes, António M. 1 López-Bernal, Álvaro 1 Luchko, Yurii F. 1 Ma, Chengye ...and 55 more Authors all top 5 Cited in 53 Serials 9 Computers & Mathematics with Applications 9 Fractional Calculus & Applied Analysis 4 Journal of Computational Physics 4 Applied Numerical Mathematics 4 Computational and Applied Mathematics 3 Applied Mathematics and Computation 3 Journal of Computational and Applied Mathematics 3 SIAM Journal on Numerical Analysis 2 Physica A 2 Chaos, Solitons and Fractals 2 Applied Mathematical Modelling 2 Engineering Analysis with Boundary Elements 2 Advances in Difference Equations 2 Boundary Value Problems 1 Acta Mechanica 1 Computer Physics Communications 1 International Journal of Control 1 Inverse Problems 1 Calcolo 1 Mathematics and Computers in Simulation 1 Numerische Mathematik 1 Acta Applicandae Mathematicae 1 Signal Processing 1 The Annals of Applied Probability 1 Numerical Algorithms 1 Computational Mathematics and Mathematical Physics 1 International Journal of Computer Mathematics 1 Cybernetics and Systems Analysis 1 SIAM Journal on Scientific Computing 1 Journal of Inverse and Ill-Posed Problems 1 Advances in Computational Mathematics 1 Annals of Mathematics and Artificial Intelligence 1 Complexity 1 Mathematical Problems in Engineering 1 Finance and Stochastics 1 Abstract and Applied Analysis 1 Mathematical Inequalities & Applications 1 New Journal of Physics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Discrete and Continuous Dynamical Systems. 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Series S 1 International Journal of Differential Equations 1 Advances in Applied Mathematics and Mechanics 1 Iranian Journal of Numerical Analysis and Optimization 1 Computational Methods for Differential Equations 1 International Journal of Applied and Computational Mathematics 1 Fractional Calculus in Applied Sciences and Engineering 1 Springer Monographs in Mathematics all top 5 Cited in 24 Fields 48 Partial differential equations (35-XX) 46 Numerical analysis (65-XX) 27 Real functions (26-XX) 21 Special functions (33-XX) 16 Ordinary differential equations (34-XX) 11 Integral equations (45-XX) 9 Probability theory and stochastic processes (60-XX) 7 Operator theory (47-XX) 5 Systems theory; control (93-XX) 4 Integral transforms, operational calculus (44-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Mechanics of deformable solids (74-XX) 3 Biology and other natural sciences (92-XX) 2 Approximations and expansions (41-XX) 2 Computer science (68-XX) 2 Fluid mechanics (76-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year