Advances in Difference Equations
Volume 2010 (2010), Article ID 127093, 11 pages
Research Article

On the Existence of Locally Attractive Solutions of a Nonlinear Quadratic Volterra Integral Equation of Fractional Order

Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt

Received 19 May 2010; Accepted 25 November 2010

Academic Editor: Mouffak Benchohra

Copyright © 2010 Mohamed I. Abbas. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The authors employs a hybrid fixed point theorem involving the multiplication of two operators for proving an existence result of locally attractive solutions of a nonlinear quadratic Volterra integral equation of fractional (arbitrary) order. Investigations will be carried out in the Banach space of real functions which are defined, continuous, and bounded on the real half axis + .