On asymptotic stability of Weber fractional differential systems

Derakhshan, Mohammad Hossein; Ansari, Alireza; Ahmadi Darani, Mohammadreza

On asymptotic stability of Weber fractional differential systems

Document Type : Research Paper

Authors

Mohammad Hossein Derakhshan ¹
Alireza Ansari ²
Mohammadreza Ahmadi Darani ¹

¹ Department of Applied Mathematics, Faculty of Mathematical Sciences Shahrekord University, P.O.Box 115, Shahrekord, Iran

² Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahrekord University, P.O.Box 115, Shahrekord

Abstract

In this article, we introduce the fractional differential systems in the sense of the Weber fractional derivatives and study the asymptotic stability of these systems. We present the stability regions and then compare the stability regions of fractional differential systems with the Riemann-Liouville and Weber fractional derivatives.

Keywords