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2018 Generalized Fractional Integral Operators Involving Mittag-Leffler Function
Hafte Amsalu, D. L. Suthar
Abstr. Appl. Anal. 2018: 1-8 (2018). DOI: 10.1155/2018/7034124


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.


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Hafte Amsalu. D. L. Suthar. "Generalized Fractional Integral Operators Involving Mittag-Leffler Function." Abstr. Appl. Anal. 2018 1 - 8, 2018.


Received: 2 March 2018; Accepted: 11 April 2018; Published: 2018
First available in Project Euclid: 11 July 2018

zbMATH: 06929592
MathSciNet: MR3816083
Digital Object Identifier: 10.1155/2018/7034124

Rights: Copyright © 2018 Hindawi

Vol.2018 • 2018
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