Theorem for Series in Three-Parameter Mittag-Leffler Function


Autoria(s): Soubhia, Ana; Camargo, Rubens; Oliveira, Edmundo; Vaz, Jayme
Data(s)

11/06/2012

11/06/2012

2010

Resumo

Mathematics Subject Classification 2010: 26A33, 33E12.

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

Identificador

Fractional Calculus and Applied Analysis, Vol. 13, No 1, (2010), 9p-20p

1311-0454

http://hdl.handle.net/10525/1639

Idioma(s)

en

Publicador

Institute of Mathematics and Informatics Bulgarian Academy of Sciences

Palavras-Chave #Fractional Derivatives #Mittag-Leffler Function #Electrical Circuits
Tipo

Article