On existence and uniqueness of solutions of a nonlinear Volterra-Fredholm integral equation
نویسندگان
1 Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran.
2 Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran.
3 Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran.
doi
10.22075/ijnaa.2015.179چکیده
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.
