Some identities on fractional integrals andintegral transforms

Abstract

In this paper, we introduce various theorems that associate the generalized Riemann-Liouville fractional integral operator and the generalized Weyl fractional integral oper-ator with some well-known integral transforms including generalized Laplace transform,Widder potential transform, generalized Widder transform, Hankel transform and Besseltransform. We evaluate certain integrals of some elementary functions and some specialfunctions as applications of these theorems and their results.