Investigating the existence of solution for nonlinear Hadamard fractional functional integral equations via measure of noncompactness and its application

Abstract

This paper is concerned with the investigation of the existence of solutions to the nonlinear fractional Hadamard-type functional integral equations on C([1, a]). To achieve this goal, we employ the theory of measure of noncompactness, fractional calculus, and the fixed point theory in Banach algebra as the key tool to prove our result. Also, we verify the validity and applicability of our result by an appropriate example.