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

Authors

  • E. Analoei Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran.
  • S. Moradi 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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Journal title

volume 6  issue 1

pages  62- 68

publication date 2015-02-17

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