Fractional differintegral operators of the generalized Mittag-Leffler type function

Dinesh Kumar; S.D. Purohit

doi:10.26637/mjm204/008

Abstract

In the present paper we study a new function called as R-function [6], which is an extension of the generalized Mittag-Leffler functions. We derive the relations that exist between the $R$-function and Saigo-Maeda fractional calculus operators. Some results derived by Kumar and Kumar [6], Kilbas [4], Kilbas and Saigo [5]; and Sharma and Jain [23] are special cases of the main results derived in this paper.

Keywords:

Fractional calculus, fractional differintegral operators, generalized Mittag-Leffler function, $R$- function

Mathematics Subject Classification:

26A33, 33C45, 33E12, 33E20

Authors Imprint References Funding Related Articles Downloads

Dinesh Kumar Department of Mathematics and Statistics, Jai Narain Vyas University, Jodhpur-342005, India. https://orcid.org/0000-0001-5415-1777
S.D. Purohit Department of Basic Sciences (Mathematics), College of Technology and Engineering, M.P. University of Agriculture and Technology, Udaipur-313001, India.

Pages: 419-425
Date Published: 01-10-2014
Vol. 2 No. 04 (2014): Malaya Journal of Matematik (MJM)

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