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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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