Regarding the use of the generalized Mittag-Leffler type functions in fractional equations

The study of fractional-order differential (and integral) equations heavily relies on the classical Mittag-Leffler functions, which have one and two parameters. The fractional telegraph equation contains the so-called generalized Mittag-Leffler function, a three-parameter function that generalizes the classical ones. Here, we provide a few integral transforms related to this Mittag-Leffler function in general. Some recent outcomes are recovered as specific cases.