Existence of solutions for a class of Fredholm integral-differential equations via measure of non-compactness

Document Type : Regular Paper

Authors

1 Department of Mathematics‎, Sari Branch ‎‎Islamic Azad University‎ Sari‎, ‎Iran

2 Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran

Abstract

In this present paper, we introduce a measure of non-compactness on the space C^n[a;b]. As an application, we study the problem of existence of solutions of Fredholm integral-differential equations by using the technique of measures of non-compactness in conjunction with Darbo’s fixed point theorem. Further, we give some illustrative examples to verify the effectiveness and applicability of our results.

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Iranian Journal of Science

Articles in Press, Accepted Manuscript
Available Online from 22 September 2015

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