Ulam stability for nonlocal differential equations involving the Hilfer–Katugampola fractional derivative

Abstract

In this paper, we establish the existence and uniqueness of solutions to nonlocal initial value problem for differential equations with Hilfer–Katugampola type fractional derivative, also, the stability of this class of problem. The arguments are based upon the Banach contraction principle, and Schaefer’s fixed point theorem. An example is included to show the applicability of our results.