Stability analysis of Hilfer fractional differential systems

作者：Rezazadeh Hadi; Aminikhah Hossein; Sheikhani A H Refahi

来源：Mathematical Communications, 2016, 21(1): 45-64.

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

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.

• 出版日期2016-5