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Solutions of fractional functional integrodifferential equations via Petryshyn’s fixed point theorem | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 9، دوره 16، شماره 6، شهریور 2025، صفحه 93-105 اصل مقاله (416.47 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.33112.4930 | ||
| نویسندگان | ||
| Mohamed Metwali1؛ Manochehr Kazemi* 2؛ Alireza Yaghoobnia3 | ||
| 1Department of Mathematics, Faculty of Science, Damanhour University, Egypt | ||
| 2Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran | ||
| 3Department of mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran | ||
| تاریخ دریافت: 09 بهمن 1402، تاریخ بازنگری: 15 فروردین 1403، تاریخ پذیرش: 19 فروردین 1403 | ||
| چکیده | ||
| This article provides the presence of solutions to a fractional functional integro-differential equation via measures of non-compactness. We present and prove a novel theorem that guarantees the existence of solutions, employing Petryshyn's fixed point theorem in the space of continuous functions. These findings build upon previous studies by establishing the existence of results under less stringent conditions. Furthermore, we provide illustrative examples of such equations to showcase the efficacy of the obtained results. | ||
| کلیدواژه‌ها | ||
| Measures of non-compactness؛ Fractional functional integro-differential equation؛ Fixed point theorem؛ Existence of solutions | ||
| مراجع | ||
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