Solvability of infinite systems of fractional differential equations in the space of tempered sequence space $m^\beta(\phi)$

	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.
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
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