Original scientific paper

Stability analysis of Hilfer fractional differential systems

Hadi Rezazadeh ; Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, Rasht, Iran
Hossein Aminikhah ; Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, Rasht, Iran
Amir Refahi Sheikhani ; Department of Applied Mathematics, Faculty of Mathematical Sciences, Islamic Azad University, Lahijan Branch, Lahijan, Iran

Abstract

In this paper, we present some remarks on the stability of fractional order systems with the Hilfer derivative. Using the Laplace transform, some sufficient conditions on the stability and asymptotic stability of autonomous and non-autonomous fractional differential systems are given. The results are obtained via the properties of Mittag-Leffler
functions and the non-standard Gronwall inequality.

Keywords

fractional order system; stability analysis; Hilfer derivative; Mittag-Leffler function

Hrčak ID:

157702

URI

https://hrcak.srce.hr/157702

Publication date:

16.5.2016.

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