On a perturbed quadratic fractional integral equation of Abel type

We present an existence theorem for monotonic solutions of a perturbed quadratic fractional integral equation in C[0, 1]. Our equation contains the famous Chandrasekhar integral equation as a special case. The concept of the measure of noncompactness related to monotonicity, introduced by J. Banaś and L. Olszowy, and a fixed point theorem due to Darbo are the main tools in carrying out our proof. Moreover, we give an example for indicating the natural realizations of our abstract result presented in this paper.