Analysis of the existence of solutions for a general class of equations, including the q-Erdélyi-Kober integral

Abstract

In this manuscript, we intend to investigate the existence of solutions for a generalized Erdély-Kober integral equations based on Petryshyan theorem associated with measure of noncompactness in Banach space. Under less stringent conditions, an existence solution is established for a general category of fractional integral equations. It is natural, relevant examples will be useful enough to confirm our achievements which are presented.