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

Document Type : Research Paper


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

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



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.


Articles in Press, Corrected Proof
Available Online from 12 April 2023
  • Receive Date: 09 August 2022
  • Revise Date: 15 February 2023
  • Accept Date: 15 March 2023
  • First Publish Date: 12 April 2023