Generalized Fractional Integral Operators Involving Mittag-Leffler Function

Hafte Amsalu and D. L. Suthar

Abstract and Applied Analysis, 2018, vol. 2018, 1-8

Abstract:

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 -function as kernel. Corresponding assertions in terms of Euler, Mellin, Laplace, Whittaker, and -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.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:7034124

DOI: 10.1155/2018/7034124

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