Document Type : Research Paper

Authors

• Manochehr Kazemi ¹
• Mohammad Reza Doostdar ²

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

• Weakly singular integral equations‎
• ‎Fixed point theorem‎
• ‎Measure of non-compactness (MNC)
• Existence of the solution