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

  • Rubens Figueiredo Camargo
  • Edmundo Capelas de Oliveira
  • Jayme VazJr.


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.


Fractional calculus Mittag-Leffler functions Integral transforms H-Fox function 

Mathematics Subject Classifications (2010)

33E12 35R11 26A33 34A08 


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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  • Rubens Figueiredo Camargo
    • 1
  • Edmundo Capelas de Oliveira
    • 2
  • Jayme VazJr.
    • 2
  1. 1.Departamento de MatemáticaFaculdade de Ciências – UNESPBauruBrazil
  2. 2.Departamento de Matemática AplicadaIMECC – UnicampCampinasBrazil

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