On Fractional Differential Operators Involving Multivariable Generalized Hypergeometric Function

Abstract

In this paper we use fractional differential operators to derive a number of key formulas of multivariable H-function. We use the generalized Leibnitz's rule for fractional derivatives in order to obtain one of the aforementioned formulas, which involve a product of two multivariable's H-function. It is further shown that ,each of these formulas yield interesting new formulas for certain multivariable hyper geometric function such as generalized Lauricella function (Srivastava-Dauost)and Lauriella hyper geometric function some of these application of the key formulas provide potentially useful generalization of known result in the theory of fractional calculus.