On the Numerical Computation of the Mittag-Leffler Function

• Tipo: Artigo em Revista Científica Internacional
• Data: 2019

Autores

Manuel D. Ortigueira (Autor) Outra; António Mendes Lopes (Autor) FEUP; José Tenreiro Machado (Autor) Outra

Revista

Título: International Journal of Nonlinear Sciences and Numerical Simulation

Vol. 20 Nº 6

Páginas: 725-736

ISSN: 1565-1339

Editora: Walter De Gruyter

Indexação

ISI Web of Knowledge - 11 Citações

Scopus - 13 Citações

Outras Informações

ID Authenticus: P-00Q-WM7

DOI: 10.1515/ijnsns-2018-0358

Abstract (EN): The Mittag-Leffler function (MLF) plays an important role in many applications of fractional calculus, establishing a connection between exponential and power law behaviors that characterize integer and fractional order phenomena, respectively. Nevertheless, the numerical computation of the MLF poses problems both of accuracy and convergence. In this paper, we study the calculation of the 2-parameter MLF by using polynomial computation and integral formulas. For the particular cases having Laplace transform (LT) the method relies on the inversion of the LT using the fast Fourier transform. Experiments with two other available methods compare also the computational time and accuracy. The 3-parameter MLF and its calculation are also considered.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 12