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

Document Type : Research Paper


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


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.


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Volume 13, Issue 1
March 2022
Pages 1023-1034
  • Receive Date: 29 April 2021
  • Revise Date: 06 September 2021
  • Accept Date: 15 September 2021
  • First Publish Date: 11 October 2021