On Erdélyi-Kober type quadratic integral equation with linear modification of the argument

Abstract

In this paper, we study the existence of solutions for a nonlinear Erdélyi–Kober fractional quadratic integral equations with linear modification of the argument. The main tool used in our considerations is the technique associated to measures of noncompactness. We compare our results with the ones obtained in recent papers. Finally, we present some examples illustrating our results.