Existence results for some weakly singular integral equations via measures of non-compactness | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 25، دوره 15، شماره 2، اردیبهشت 2024، صفحه 301-308 اصل مقاله (352.72 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.28041.3789 | ||
| نویسندگان | ||
| Manochehr Kazemi* 1؛ Mohammad Reza Doostdar2 | ||
| 1Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran | ||
| 2Department of Mathematics, Zarandieh Branch, Islamic Azad University, Zarandieh, Iran | ||
| 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 | ||
| مراجع | ||
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