%0 Journal Article
%T Solvability of infinite systems of fractional differential equations in the space of tempered sequence space $m^\beta(\phi)$
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Mehravaran, Hamid
%A Amiri Kayvanloo, Hojjatollah
%A Allahyari, Reza
%D 2022
%\ 03/01/2022
%V 13
%N 1
%P 1023-1034
%! Solvability of infinite systems of fractional differential equations in the space of tempered sequence space $m^\beta(\phi)$
%K Fractional differential equations
%K Hausdorff measure of noncompactness
%K Meir-Keeler condensing operator
%K Space of tempered sequence
%R 10.22075/ijnaa.2021.23299.2515
%X 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.
%U https://ijnaa.semnan.ac.ir/article_5638_617a039cd456560f4b036bd410cef3f2.pdf