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

Document Type : Research Paper

Authors

Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran.

10.22075/ijnaa.2021.23299.2515

Abstract

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.

Keywords