International Journal of Nonlinear Analysis and Applications

Existence results for some weakly singular integral equations via measures of non-compactness

Document Type : Research Paper

Authors

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

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

Abstract

In this paper, the existence of the solutions of a class of weakly singular integral equations in Banach algebra is investigated. ‎The basic tool used in investigations is the technique of the measure of non-compactness and Petryshyn’s fixed point theorem. Also, for the applicability of the obtained results, some examples are given.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 15, Issue 2
February 2024
Pages 301-308
  • Receive Date: 09 August 2022
  • Revise Date: 15 February 2023
  • Accept Date: 15 March 2023