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 multi-index Mittag-Leffler function $E_{\gamma, \kappa}[(\alpha_j,\beta_j)_m; z]$. An interesting special case of our main result is also considered.