A fixed point result via new condensing operator and its application to a system of generalized proportional fractional integral equations

This article investigates a system of generalised proportional fractional (GPF) integral equations. In order to accomplish this, a new fixed point theorem is established with the aid of a new notion of condensing operator. We then discuss the application of this new fixed point theorem to the GPF integral equations on Banach space. Lastly, we validate our findings using a suitable illustration.