Fractional integral operator associated with extended Mittag-Leffler function

Abstract

Popular literature of Special Functions includes the generalization and extensions of functions like gamma function, beta function, Mittag-Leffler function, hypergeometric function and confluent hypergeometric function etc. This sequel deals with the extension of Mittag-Leffler functions and its properties. We aim to find the composition of fractional integration formula known as Pδ- transform with the extended Mittag-Leffler function. Some special cases and corollaries are pointed out which follow from our main results.