Certain Extended Type Hypergeometric Functions of Two and Three Variables

The major objective of the present article is to study the new extension of hypergeometric functions of two and three variables by the using of 2 parameters Mittag-Leffler function. In the present article mainly, we study the integral representations of these extended hypergeometric functions and obtained some important properties of the extended Riemann-Liouville type fractional derivative operator. We have also derived some generating functions for generalized hypergeometric functions by using the extended Riemann-Liouville type fractional derivative operator.