On a perturbed quadratic fractional integral equation of Abel type

Authors:
Mohamed Abdalla Darwish
Affiliations:
-
Venue:
Computers & Mathematics with Applications
Year:
2011

Citing 4
Cited 1

Solvability of a nonlinear integral equation of Volterra type

Journal of Computational and Applied Mathematics
On monotonic solutions of an integral equation of Volterra type

Journal of Computational and Applied Mathematics
Monotonic solutions of a class of quadratic integral equations of Volterra type

Computers & Mathematics with Applications
Nondecreasing solutions of a quadratic singular Volterra integral equation

Mathematical and Computer Modelling: An International Journal

Nonnegative solutions of fractional functional differential equations

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Abstract

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. Banas 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.