Study on existence of solutions for some nonlinear functional-integral equations with applications

Abstract

In this paper, using the technique of measure of noncompactness in
Banach algebra, we prove an existence theorem for a nonlinear
integral equation which contains as particular cases a lot of
integral and functional-integral equations considered in nonlinear
analysis and its applications. Our claim is also illustrated with
the applications to some nonlinear functional-integral equation
for proving the existence results.