%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