Fractional Calculus of the Extended Hypergeometric Function

Author:

Şahin Recep1,Yağcı Oğuz1

Affiliation:

1. Department of Mathematics , Kırıkkale University, Faculty of Science Kırıkkale , Turkey

Abstract

Abstract Here, our aim is to demonstrate some formulae of generalization of the extended hypergeometric function by applying fractional derivative operators. Furthermore, by applying certain integral transforms on the resulting formulas and develop a new futher generalized form of the fractional kinetic equation involving the generalized Gauss hypergeometric function. Also, we obtain generating functions for generalization of extended hypergeometric function..

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

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