Stability analysis of Hilfer fractional-order differential equations

被引：2
|
作者：
Hegade, Abhiram [1 ]
Bhalekar, Sachin [1 ]
机构：
[1] Univ Hyderabad, Sch Math & Stat, Hyderabad 500046, Telangana, India
来源：
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS | 2023年 / 232卷 / 14-15期
关键词：
DYNAMICAL-SYSTEMS;
D O I：
10.1140/epjs/s11734-023-00960-z
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This article considers the linear autonomous systems involving Hilfer fractional derivative. Starting from the generalized version of the well-known Matignon's stability result for Caputo systems, we present a detailed portrayal of the stability of linear fractional-order systems with the Hilfer derivative. We sketch the phase portraits of such systems in the two-dimensional case. The relation between the singular points and the zeros of Mittag-Leffler functions is also presented.
引用
收藏
页码：2357 / 2365
页数：9
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