Theorem for series in three-parameter mittag-leffler function


Autoria(s): Soubhia, Ana Luisa; Camargo, Rubens de Figueiredo; Oliveira, Edmundo Capelas de; Vaz Júnior, Jayme
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

02/03/2016

02/03/2016

2010

Resumo

The new result presented here is a theorem involving series in the three-parameter Mittag-Le er function. As a by-product, we recover some known results and discuss corollaries. As an application, we obtain the solution of a fractional di erential equation associated with a RLC electrical circuit in a closed form, in terms of the two-parameter Mittag-Le er function.

Formato

9-20

Identificador

http://www.diogenes.bg/fcaa/volume13/fcaa131/Oliveira_etal_FCAA2010.pdf

Fractional Calculus and Applied Analysis, v. 13, n. 1, p. 9-20, 2010.

1311-0454

http://hdl.handle.net/11449/134550

4894275157982649

1122232718000395

Idioma(s)

eng

Relação

Fractional Calculus and Applied Analysis

Direitos

closedAccess

Palavras-Chave #Fractional calculus #Mittag-leffler functions #Addition theorems #RLC fractional electrical circuit
Tipo

info:eu-repo/semantics/article