On urysohn-volterra fractional quadratic integral equations

Abstract

In this paper the authors study a fractional quadratic integral equation of Urysohn-Volterra type. They show that the integral equation has at least one monotonic solution in the Banach space of all real functions defined and continuous on the interval [0, 1]. The main tools in the proof are a fixed point theorem due to Darbo and a monotonicity measure of noncompactness.