Generalized Integral Transform and Fractional Calculus Operators Involving a Generalized Mittag-Leffler (ML)-Type Function

Abstract

In this paper, we consider a generalized Mittag-Leffler (ML)-type function and establish several integral formulas involving Jacobi and related transforms. We also establish some of the composition of generalized fractional derivative formulas associated with the generalized Mittag-Leffler (ML)-type function. Additionally, certain special cases of generalized fractional derivative formulas involving the Mittag-Leffler (ML)-type function are corollarily presented.

Keywords

• Mittag-Leffler (ML) functions
• generalized Wright hypergeometric function
• Mittag-Leffler (ML)-type confluent hypergeometric function
• Jacobi transform
• generalized fractional derivative