On a Hilfer fractional differential equation with nonlocal Erdélyi-Kober fractional integral boundary conditions

Abstract

We consider a Hilfer fractional differential equation with nonlocal Erdelyi-Kober fractional integral boundary conditions. The existence, uniqueness and Ulam-Hyers stability results are investigated by means of the Krasnoselskii's fixed point theorem and Banach's fixed point theorem. An example is given to illustrate the main results.