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.
Keywords

  • Receive Date 13 June 2013
  • Revise Date 22 July 2014
  • Accept Date 07 November 2014

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