On the existence of solutions for Hadamard-type fractional integral equations

The manuscript is dedicated towards the study of the existence of solutions for generalized Hadamard fractional integral equations with respect to a positive increasing function. By utilizing the techniques of Petryshyn’s theorem associated with the Kuratowski’s measure of noncompactness as our main analytical tool, we operate in Banach algebra concerning the estimate of the solutions. We applied our theorems to prove that there exist solutions for a general category of Hadamard fractional integral equations. We also provide some instances are given to explain the obtained results.