On asymptotic stability of Prabhakar fractional differential systems

Derakhshan, Mohammad Hossein; Ahmadi Darani, Mohammadreza; Ansari, Alireza; Khoshsiar Ghaziani, Reza

On asymptotic stability of Prabhakar fractional differential systems

Document Type : Research Paper

Authors

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, Iran.

Abstract

In this article, we survey the asymptotic stability analysis of fractional differential systems with the Prabhakar fractional derivatives. We present the stability regions for these types of fractional differential systems. A brief comparison with the stability aspects of fractional differential systems in the sense of Riemann-Liouville fractional derivatives is also given.

Keywords