Existence of Solutions for a Coupled Hadamard Fractional System of Integral Equations in Local Generalized Morrey Spaces

Abstract

This paper introduces a new measure of non-compactness within a bounded domain of RN in the generalized Morrey space. This measure is used to establish the existence of solutions for a coupled Hadamard fractional system of integral equations in generalized Morrey spaces. To illustrate the application of the main result, an example is presented.

Keywords

• non-compactness measure
• hadamard fractional system of integral equations
• non-compactness
• boundedness