Non-instantaneous impulsive fractional integro-differential equations with proportional fractional derivatives with respect to another function

Abstract

"This paper concerns the existence and uniqueness of solutions of non- instantaneous impulsive fractional integro-di erential equations with proportional fractional derivatives with respect to another function. By the aid of the nonlinear alternative of Leray-Schauder type and the Banach contraction mapping principle, the main results are demonstrated. Two examples are inserted to illustrate the applicability of the theoretical results."