A note on fractional integral operator associated with multiindex Mittag-Leffler functions

Abstract

Recently Kiryakova and several other ones have investigated so-called multiindex Mittag-Leffler functions associated with fractional calculus. Here, in this paper, we aim at establishing a new fractional integration formula (of pathway type) involving the generalized multiindex Mittag-Leffler function Eγ,κ[(αj, βj)m; z]. Some interesting special cases of our main result are also considered and shown to be connected with certain known ones.