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

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 generalizedMittag-Leffler function. As particular cases some recent results are recovered.