On the Generalized Mittag-Leffler Function and its Application in a Fractional Telegraph Equation


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

Universidade Estadual Paulista (UNESP)

Data(s)

20/05/2014

20/05/2014

01/03/2012

Resumo

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Processo FAPESP: 06/52475-8

The classical Mittag-Leffler functions, involving one- and two-parameter, play an important role in the study of fractional-order differential (and integral) equations. The so-called generalized Mittag-Leffler function, a function with three-parameter which generalizes the classical ones, appear in the fractional telegraph equation. Here we introduce some integral transforms associated with this generalized Mittag-Leffler function. As particular cases some recent results are recovered.

Identificador

http://dx.doi.org/10.1007/s11040-011-9100-8

Mathematical Physics Analysis and Geometry. Dordrecht: Springer, v. 15, n. 1, p. 1-16, 2012.

1385-0172

http://hdl.handle.net/11449/8585

10.1007/s11040-011-9100-8

WOS:000300852500001

Idioma(s)

eng

Publicador

Springer

Relação

Mathematical Physics Analysis and Geometry

Direitos

closedAccess

Palavras-Chave #Fractional calculus #Mittag-Leffler functions #Integral transforms #H-Fox function
Tipo

info:eu-repo/semantics/article