Title of article :
Solvability of infinite systems of fractional differential equations in the space of tempered sequence space mβ(ϕ)
Author/Authors :
Mehravaran, Hamid Department of Mathematics - Islamic Azad University Mashhad Branch, Mashhad, Iran , Amiri Kayvanloo, Hojjatollah Department of Mathematics - Islamic Azad University Mashhad Branch, Mashhad, Iran , Allahyari, Reza Department of Mathematics - Islamic Azad University Mashhad Branch, 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 mβ(ϕ) 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 :
Fractional differential equations , Hausdorff measure of noncompactness , Meir-Keeler condensing operator , Space of tempered sequence
Journal title :
International Journal of Nonlinear Analysis and Applications
