Main Article Content
Abstract
In this paper we prove the existence as well as approximations of the positive solutions for a nonlinear quadratic fractional integral equation. An algorithm for the solutions is developed and it is shown that the sequence of successive approximations converges monotonically to the positive solution of related quadratic fractional integral equation under some suitable mixed hybrid conditions. We rely our results on Dhage iteration method embodied in a recent hybrid fixed point theorem of Dhage (2014) for the product of operators in a partially ordered normed linear algebra. An example is also provided to illustrate the abstract theory developed in the paper.