Image formulas of certain special functions via generalized Katugampola fractional integral operator

Abstract

In the present paper fractional integral operator due to Katugampola is applied to power function and Wright function, which generalizes several well-known operators - Riemann-Liouville, Weyl and Liouville, Katugampola, Hadamard, Erdelyi-Kober into one form. Gauss's hypergeometric function and Generalized Lauricella function are obtained for this operator. Some new and known results are also illustrated. Some graphs are also given in the support of the result.