New results on fractional calculus and integral transform with extended Mittag-Leffler type function

In the present article, we obtain new results, based on an extended Mittag-Leffler type function. We also investigate some integral transforms and generalized integral formulas for this function, and established results are expressed in terms of the Wright generalized hypergeometric type function. Some presumably new and known interesting special cases are also deduced.

کلیدواژه ها:

Generalized Wright hypergeometric function ، extended Mittag-Leffler function ، fractional calculus operators ، Integral transforms ، generalized beta and gamma functions