Numerical implementation of Mittag-Leffler function: a revision study

Authors

  • Eberth de Almeida Correa Universidade de Brasília, Campus do Gama
  • Leandro Xavier Cardoso Universidade de Brasília, Campus do Gama
  • Tais Calliero Tognetti Universidade de Brasília, Campus do Gama
  • Ronni Geraldo Gomes Amorim Universidade de Brasília, Campus do Gama

Keywords:

Fractional Calculus, Mittag-Leffler, Numerical Method.

Abstract

This work presents a review of an algorithm to calculate the Mittag-Leffler function. In order to do it, we follow the definition of the Mittag-Leffler function in Refs. (GORENFLO; LOUTCHKO; LUCHKO, 2002; DIETHELM et al., 2005) and discuss some of its properties. Then, we revise the numerical algorithm in Ref. (DIETHELM et al., 2005) and plot some cases of Mittag-Leffler function performed. In addition, we discuss the accuracy and convergence of the presented algorithm.

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Published

2022-09-28

How to Cite

CORREA, E. de A.; CARDOSO, L. X.; TOGNETTI, T. C.; AMORIM, R. G. G. Numerical implementation of Mittag-Leffler function: a revision study. C.Q.D. - Revista Eletrônica Paulista de Matemática, Bauru, v. 22, n. 2, 2022. Disponível em: https://sistemas.fc.unesp.br/ojs/index.php/revistacqd/article/view/306. Acesso em: 24 nov. 2024.

Issue

v.22, n.2 - Edição Brazilian Symposium on Fractional Calculus – Set/2022

Section

Artigos de Pesquisa

License

Copyright (c) 2022 C.Q.D. - Revista Eletrônica Paulista de Matemática

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.