On certain fractional calculus operators involving generalized Mittag-Leffler function
- Publisher: University of Maragheh
Sahand Communications in Mathematical Analysis
(issn: 2322-5807, eissn: 2423-3900)
Marichev-Saigo-Maeda fractional calculus operators | Generalized Mittag-Leffler function | Generalized Wright hypergeometric function | Mathematics | QA1-939
The object of this paper is to establish certain generalized fractional integration and differentiation involving generalized Mittag-Leffler function defined by Salim and Faraj . 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 . 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 , Saxena and Saigo , Samko et al. . 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.