@article {
author = {Kumar, Dinesh},
title = {On certain fractional calculus operators involving generalized Mittag-Leffler function},
journal = {Sahand Communications in Mathematical Analysis},
volume = {03},
number = {2},
pages = {33-45},
year = {2016},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {},
abstract = {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.},
keywords = {Marichev-Saigo-Maeda fractional calculus operators,Generalized Mittag-Leffler function,Generalized Wright hypergeometric function},
url = {http://scma.maragheh.ac.ir/article_19751.html},
eprint = {http://scma.maragheh.ac.ir/article_19751_f8cba31ae3575443d6bc568443f37036.pdf}
}