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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/8585
Title: 
On the Generalized Mittag-Leffler Function and its Application in a Fractional Telegraph Equation
Author(s): 
Institution: 
  • Universidade Estadual de Campinas (UNICAMP)
  • Universidade Estadual Paulista (UNESP)
ISSN: 
1385-0172
Sponsorship: 
  • Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
  • Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
Sponsorship Process Number: 
FAPESP: 06/52475-8
Abstract: 
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.
Issue Date: 
1-Mar-2012
Citation: 
Mathematical Physics Analysis and Geometry. Dordrecht: Springer, v. 15, n. 1, p. 1-16, 2012.
Publisher: 
Springer
Keywords: 
  • Fractional calculus
  • Mittag-Leffler functions
  • Integral transforms
  • H-Fox function
Source: 
http://dx.doi.org/10.1007/s11040-011-9100-8
URI: 
Access Rights: 
Acesso restrito
Type: 
outro
Source:
http://repositorio.unesp.br/handle/11449/8585
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

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