mlf swMATH ID: 18400 Software Authors: I. Podlubny, M. Kacenak Description: 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). USAGE: MLF(alpha,beta,Z,P) is the Mittag-Leffler function E_{alpha,beta}(Z) evaluated with accuracy 10^(-P) for each element of Z. Homepage: https://www.mathworks.com/matlabcentral/fileexchange/8738-mittag-leffler-function? Dependencies: Matlab Related Software: Mittag-Leffler; Matlab; ML; mlrnd; Regularization tools; ma2dfc; DFOC; DLMF; sysdfod; OPQ; INVLAP; Sinc-Pack; AAA; GitHub; mftoolbox; NFOC; Kilbas Saigo; SubIval; Algorithm 432; FSST Cited in: 65 Publications all top 5 Cited by 111 Authors 6 Wei, Ting 5 Garrappa, Roberto 5 Long, Le Dinh 5 Mainardi, Francesco 5 Xiong, Xiangtuan 4 Nguyen Huy Tuan 3 Băleanu, Dumitru I. 3 Li, Xiaoxiao 3 Popolizio, Marina 3 Wang, Jungang 3 Yang, Fan 3 Yang, Shuping 2 Can, Nguyen Huu 2 Chen, Yangquan 2 Esmaeili, Shahrokh 2 Grigolini, Paolo 2 Han, Yaozong 2 Khan, Junaid Ali 2 Kilbas, Anatoliĭ Aleksandrovich 2 Kirane, Mokhtar 2 Leonenko, Nikolai N. 2 Luc, Nguyen Hoang 2 Ott, Curdin 2 Podlubny, Igor 2 Qu, Haidong 2 Qureshi, Ijaz Mansoor 2 Raja, Muhammad Asif Zahoor 2 Rogosin, Sergei V. 2 Xue, Xuemin 2 Zare, Marzieh 2 Zhou, Yong 2 Zhou, Yubin 1 Agarwal, Ravi P. 1 Ajeel, Mahmood Shareef 1 Asante-Asamani, E. O. 1 Azaïez, Mejdi 1 Bin-Mohsin, Bandar 1 Bittig, Arne 1 Braga, Joao Paulo 1 Burrage, Kevin 1 Cardone, Angelamaria 1 Carvalho, F. S. 1 D’Ambrosio, Raffaele 1 Dehghan Takht Fooladi, Mehdi 1 Dehghan, Sina 1 Deng, Zhiliang 1 Eslahchi, Mohammad Reza 1 Fan, Bin 1 Fan, Ping 1 Fu, Jun-Liang 1 Fulger, Daniel 1 Gachpazan, Morteza 1 Germano, Guido 1 Gong, Xuhong 1 Gorenflo, Rudolf 1 Guido, Maione 1 Guo, Gang 1 Hoan, Luu Vu Cam 1 Iqbal, Sajad 1 Iyiola, Olaniyi Samuel 1 Khosravian-Arab, Hassan 1 Koroleva, Anna A. 1 Kovács, Mihály 1 Lambert, David E. 1 Larsson, Stig 1 Li, Dungang 1 Li, Zhuo 1 Liang, Yingjie 1 Liu, Lu 1 Liu, Xiao 1 Liu, Xuan 1 Luchko, Yurii F. 1 Ma, Chengye 1 Mafahim, Javad Usefie 1 Magin, Richard Lloyd 1 McLean, William 1 Milovanović, Gradimir V. 1 Mirzaei, Soheila 1 Mura, Antonio 1 Nataraj, Paluri S. V. 1 Nguyen, Van Thinh 1 Nie, Yan 1 Pagnini, Gianni 1 Pan, Ping 1 Paternoster, Beatrice 1 Pathak, Nimisha 1 Petras, Ivo 1 Povstenko, Yuriy Z. 1 Ren, Yupeng 1 Roop, John Paul 1 Saedpanah, Fardin 1 Scalas, Enrico 1 She, Zihang 1 Soheili, Ali Reza 1 Sowa, Marcin 1 Sun, Yue 1 Tam, Pham Thi Minh 1 Tran, Thanh Binh 1 Uhrmacher, Adelinde M. 1 Van, Ho Thi Kim ...and 11 more Authors all top 5 Cited in 40 Serials 9 Fractional Calculus & Applied Analysis 6 Computers & Mathematics with Applications 3 Journal of Computational Physics 3 Journal of Computational and Applied Mathematics 3 Applied Numerical Mathematics 2 Applied Mathematics and Computation 2 Applied Mathematical Modelling 2 Computational and Applied Mathematics 2 Advances in Difference Equations 2 Inverse Problems in Science and Engineering 1 Acta Mechanica 1 International Journal of Control 1 Physica A 1 Chaos, Solitons and Fractals 1 Calcolo 1 SIAM Journal on Numerical Analysis 1 Acta Applicandae Mathematicae 1 The Annals of Applied Probability 1 Numerical Algorithms 1 Computational Mathematics and Mathematical Physics 1 International Journal of Computer Mathematics 1 Journal of Inverse and Ill-Posed Problems 1 Advances in Computational Mathematics 1 Annals of Mathematics and Artificial Intelligence 1 Complexity 1 Engineering Analysis with Boundary Elements 1 Mathematical Problems in Engineering 1 Finance and Stochastics 1 Abstract and Applied Analysis 1 Mathematical Inequalities & Applications 1 New Journal of Physics 1 Discrete and Continuous Dynamical Systems. Series B 1 Mediterranean Journal of Mathematics 1 Boundary Value Problems 1 Discrete and Continuous Dynamical Systems. Series S 1 Bulletin of Mathematical Analysis and Applications 1 International Journal of Differential Equations 1 Advances in Applied Mathematics and Mechanics 1 Computational Methods for Differential Equations 1 Springer Monographs in Mathematics all top 5 Cited in 20 Fields 33 Numerical analysis (65-XX) 32 Partial differential equations (35-XX) 19 Real functions (26-XX) 15 Special functions (33-XX) 10 Ordinary differential equations (34-XX) 9 Probability theory and stochastic processes (60-XX) 7 Integral equations (45-XX) 5 Operator theory (47-XX) 4 Statistical mechanics, structure of matter (82-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Computer science (68-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year