TY - JOUR
ID - 19751
TI - On certain fractional calculus operators involving generalized Mittag-Leffler function
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Kumar, Dinesh
AD - Department of Mathematics & Statistics, Jai Narain Vyas University, Jodhpur - 342005, India.
Y1 - 2016
PY - 2016
VL - 03
IS - 2
SP - 33
EP - 45
KW - Marichev-Saigo-Maeda fractional calculus operators
KW - Generalized Mittag-Leffler function
KW - Generalized Wright hypergeometric function
DO -
N2 - 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.
UR - http://scma.maragheh.ac.ir/article_19751.html
L1 - http://scma.maragheh.ac.ir/article_19751_f8cba31ae3575443d6bc568443f37036.pdf
ER -