Generalized Fractional Integral Operators Involving Mittag‐Leffler Function

Hafte Amsalu and D. L. Suthar

Abstract and Applied Analysis, 2018, vol. 2018, issue 1

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 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.

Date: 2018
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https://doi.org/10.1155/2018/7034124

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2018:y:2018:i:1:n:7034124

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