Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operators

Abstract

In this paper, we establish fractional integral and derivative formulas involving the generalized p-k-Mittag-Leffler function by using Marichev–Saigo–Maeda type fractional integral and derivative operators. We also consider some special cases of derived results by considering specific values of the parameters of the generalized p-k-Mittag-Leffler function to give the application of our main results. Keywords: Fractional calculus operators, Fox–Wright function, Fox H-function, Generalized p-k-Mittag-Leffler function, Mathematics Subject Classification: 26A33, 33C20, 33E12, 62E12