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.

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