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

نویسندگان
Kazemi, Manochehr ID 1
Doostdar, Mohammad Reza ID 2

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

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

doi
10.22075/ijnaa.2023.28041.3789
چکیده

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.

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