On asymptotic stable solutions of a quadratic Erdelyi-Kober fractional functional integral equation with linear modification of the arguments

We consider the solvability and asymptotic stability of a quadratic Erdelyi-Kober fractional functional integral equation with linear modification of the argument. In the Banach space of functions which are bounded and continuous on R+ := [0, infinity), Schauder's fixed point theorem and the measure of noncompactness in this space are the main tools used to prove our main result. (C) 2019 Elsevier Ltd. All rights reserved.