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Construction of compact-integral operators on $C^\infty(\Bbb{R}_+)$ and $C^n(\Bbb{R}_+)$ with application in the study of functional integro-differential equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 29، دوره 15، شماره 10، دی 2024، صفحه 377-389 اصل مقاله (541.01 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.26265.3280 | ||
| نویسندگان | ||
| Asghar Allahyari1؛ Hojjatollah Amiri Kayvanloo2؛ Mohammad Mursaleen3، 4؛ Ali Shole Haghighi2؛ Mohammad Davarpanah5؛ Reza Allahyari* 2 | ||
| 1Department of Mathematics, Tabas Branch, Islamic Azad University, Tabas, Iran. | ||
| 2Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran. | ||
| 3Department of Mathematics, Aligarh Muslim University, Aligarh, 202002, Uttar Pradesh, India | ||
| 4Department of Medical Research, China Medical University Hospital, China Medical University (Taiwan), Taichung, Taiwan | ||
| 5Department of Mathematics, Ferdows Branch, Islamic Azad University, Ferdows, Iran. | ||
| تاریخ دریافت: 21 بهمن 1400، تاریخ بازنگری: 06 مهر 1402، تاریخ پذیرش: 28 مهر 1402 | ||
| چکیده | ||
| In this brief note, we present a fixed point theorem in the Fr$\acute{e}$chet space. Also we study a new family of measures of noncompactness on $C^\infty(\Bbb{R}_+)$ and $C^n(\Bbb{R}_+)$ and we investigate the construction of compact-integral operators on $C^\infty(\Bbb{R}_+)$ and $C^n(\Bbb{R}_+)$. Finally, we provide various examples which illustrate the existence of solutions for a wide variety of functional integral-differential equations. | ||
| کلیدواژه‌ها | ||
| Family of measures of noncompactness؛ condensing operators؛ integral-differential equations | ||
| مراجع | ||
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