Solvability of a system of Katugampola fractional integral equations using a fixed point result obtained via new condensing operators.

Abstract

The aim of this specific paper is to scrutinize a system of Katugampola fractional integral equations. To attain this, a new idea of condensing operators has been used to establish a new fixed point theorem. Furthermore, we present the discussion of the application of this new fixed-point theorem to the Katugampola fractional integral equations in a Banach space. An example has been illustrated to support the effectiveness of the obtained results.