Existence of solutions for nonlinear Hilfer-Katugampola fractional integro-differential equations

This paper investigates the existence of solutions for a class of nonlinear Hilfer-Katugampola fractional integro-differential equations defined on a finite interval $[0,T]$. By employing the Banach contraction mapping principle and Krasnoselskii’s fixed point theorem, we establish sufficient conditions that guarantee the existence of solutions to the considered initial value problem.