Fractional operators with generalized Mittag-Leffler k-function

Abstract

Abstract In this paper, our main aim is to deal with two integral transforms involving the Gauss hypergeometric functions as their kernels. We prove some composition formulas for such generalized fractional integrals with Mittag-Leffler k-function. The results are established in terms of the generalized Wright hypergeometric function. The Euler integral k-transformation for Mittag-Leffler k-functions has also been developed.

Keywords

• Fractional integral operators
• Generalized Mittag-Leffler k-function
• Generalized Wright function