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

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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.

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Authors and Affiliations

  1. Departamento de Matemática, Faculdade de Ciências – UNESP, 17033-360, Bauru, SP, Brazil

    Rubens Figueiredo Camargo

  2. Departamento de Matemática Aplicada, IMECC – Unicamp, 13083-859, Campinas, SP, Brazil

    Edmundo Capelas de Oliveira & Jayme Vaz Jr.

Authors
  1. Rubens Figueiredo Camargo
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  2. Edmundo Capelas de Oliveira
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  3. Jayme Vaz Jr.
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Correspondence to Edmundo Capelas de Oliveira.

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Camargo, R.F., de Oliveira, E.C. & Vaz, J. On the Generalized Mittag-Leffler Function and its Application in a Fractional Telegraph Equation. Math Phys Anal Geom 15, 1–16 (2012). https://doi.org/10.1007/s11040-011-9100-8

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  • DOI: https://doi.org/10.1007/s11040-011-9100-8

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