A new techniques applied to Volterra–Fredholm integral equations with discontinuous kernel

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Keywords:

Banach space, Volterra–Fredholm integral equation, Separation of variables method

Abstract

The purpose of this paper is to establish the general solution of a Volterra–Fredholm integral equation with discontinuous kernel in a Banach space. Banach’s fixed point theorem is used to prove the existence and uniqueness of the solution. By using separation of variables method, the problem is reduced to a Volterra integral equations of the second kind with continuous kernel. Normality and continuity of the integral operator are also discussed

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Published

2021-01-04

How to Cite

M. E. Nasr, & M. A. Abdel-Aty. (2021). A new techniques applied to Volterra–Fredholm integral equations with discontinuous kernel. Journal of Computational Analysis and Applications (JoCAAA), 29(1), 11–24. Retrieved from http://eudoxuspress.com/index.php/pub/article/view/124

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