On existence and uniqueness of solutions of a nonlinear Volterra-Fredholm integral equation

Document Type : Research Paper

Authors

Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran.

Abstract

In this paper we investigate the existence and uniqueness for Volterra-Fredholm type integral equations and extension of this type of integral equations. The result is obtained by using the  coupled fixed point theorems in the framework of Banach space $X=C([a,b],mathbb{R})$. Finally, we  give an example to illustrate the applications of our results.

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