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Generalized Fractional Integral Operators Involving Mittag-Leffler Function

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  • Hafte Amsalu
  • D. L. Suthar

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.

Suggested Citation

  • Hafte Amsalu & D. L. Suthar, 2018. "Generalized Fractional Integral Operators Involving Mittag-Leffler Function," Abstract and Applied Analysis, Hindawi, vol. 2018, pages 1-8, June.
    • Handle: RePEc:hin:jnlaaa:7034124
    DOI: 10.1155/2018/7034124
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