Generalized Fractional Integral Operators Involving Mittag-Leffler Function

Abstract EN

The aim of this paper is to study various properties of Mittag-Leffler (M-L) function.

Here we establish two theorems which give the image of this M-L function under the generalized fractional integral operators involving Fox’s H-function as kernel.

Corresponding assertions in terms of Euler, Mellin, Laplace, Whittaker, and K-transforms are also presented.

On account of general nature of M-L function a number of results involving special functions can be obtained merely by giving particular values for the parameters.