Unified fractional derivative formulae for the generalized Mittag-Leffler function

Abstract

The aim of this paper is to evaluate two unified fractional derivative involving the product of generalized Mittag-Leffler function and Appell function F₃(.) . These integrals are further applied in proving two theorems on Marichev-Saigo-Maeda fractional derivative operators. The results are expressed in terms of generalized Wright function and generalized hypergeometric functions _pF_q(.) . Further, we point out also their relevance.