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.

Downloads

Download data is not yet available.

Downloads

Published

2022-09-28

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.

How to Cite

CORREA, E. DE A. et al. Numerical implementation of Mittag-Leffler function: a revision study. C.Q.D. - Revista Eletrônica Paulista de Matemática, v. 22, n. 2, 28 Sep.2022.

Similar Articles

1-10 of 57

You may also start an advanced similarity search for this article.