Applications of measure of noncompactness for solvability of Hadamard fractional integral equations
摘要
This paper aims to investigate the existence of solution of a generalized Hadamard proportional fractional integral equations involving non-singular kernels. First, we introduce Hadamard fractional integral equations. Then, we demonstrate the existence of the solution of Hadamard proportional fractional integral equations based on the concept of a measure of noncompactness and Petryshyn’s fixed point theorem. After that, we provide suitable examples which evidence the existing result.