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

Document Type : Research Paper


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


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.