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Solvability of infinite systems of fractional differential equations in the space of tempered sequence space $m^\beta(\phi)$ | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 85، دوره 13، شماره 1، خرداد 2022، صفحه 1023-1034 اصل مقاله (421.35 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.23299.2515 | ||
| نویسندگان | ||
| Hamid Mehravaran؛ Hojjatollah Amiri Kayvanloo؛ Reza Allahyari* | ||
| Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran. | ||
| تاریخ دریافت: 09 اردیبهشت 1400، تاریخ بازنگری: 15 شهریور 1400، تاریخ پذیرش: 24 شهریور 1400 | ||
| چکیده | ||
| The purpose of this article, is to establish the existence of solution of infinite systems of fractional differential equations in space of tempered sequence $m^\beta(\phi)$ by using techniques associated with Hausdorff measures of noncompactness. Finally, we provide an example to highlight and establish the importance of our main result. | ||
| کلیدواژه‌ها | ||
| Fractional differential equations؛ Hausdorff measure of noncompactness؛ Meir-Keeler condensing operator؛ Space of tempered sequence | ||
| مراجع | ||
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