%0 Journal Article
%T On certain fractional calculus operators involving generalized Mittag-Leffler function
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Kumar, Dinesh
%D 2016
%\ 06/01/2016
%V 03
%N 2
%P 33-45
%! On certain fractional calculus operators involving generalized Mittag-Leffler function
%K Marichev-Saigo-Maeda fractional calculus operators
%K Generalized Mittag-Leffler function
%K Generalized Wright hypergeometric function
%R
%X The object of this paper is to establish certain generalized fractional integration and differentiation involving generalized Mittag-Leffler function defined by Salim and Faraj [25]. The considered generalized fractional calculus operators contain the Appell's function $F_3$ [2, p.224] as kernel and are introduced by Saigo and Maeda [23]. The Marichev-Saigo-Maeda fractional calculus operators are the generalization of the Saigo fractional calculus operators. The established results provide extensions of the results given by Gupta and Parihar [3], Saxena and Saigo [30], Samko et al. [26]. On account of the general nature of the generalized Mittag-Leffler function and generalized Wright function, a number of known results can be easily found as special cases of our main results.
%U https://scma.maragheh.ac.ir/article_19751_f8cba31ae3575443d6bc568443f37036.pdf