An the new riemann liouville fractional operator extended

Abstract

In this paper we will introduce a new and modi ed Riemann-Liouville fractional operator that resulted from modifying the extended fractional derivative due to M. Ozarslan. We will study some familiar functions regarding this new operator, the transform Laplace and Mellin are calculate of the potential function and we will also de ne a new hypergeometric function in term of extended beta function due to Pucheta.