PRACTICAL STABILITY OF CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS BY LYAPUNOV FUNCTIONS

被引：7
|
作者：
Agarwal, Ravi [1 ]
Hristova, S. [2 ]
O'Regan, D. [3 ]
机构：
[1] Texas A&M Univ Kingsville, Dept Math, Kingsville, TX 78363 USA
[2] Paisij Hilendarski Univ Plovdiv, Dept Appl Math & Modeling, Plovdiv, Bulgaria
[3] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland
来源：
DIFFERENTIAL EQUATIONS & APPLICATIONS | 2016年 / 8卷 / 01期
关键词：
practical stability; strongly practical stability; Lyapunov functions; Caputo derivatives; fractional differential equations;
D O I：
10.7153/dea-08-04
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The practical stability of a nonlinear nonautonomous Caputo fractional differential equation is studied using Lyapunov like functions. The novelty of this paper is based on the new definition of the derivative of a Lyapunov like function along the given fractional differential equation. Comparison results using this definition for scalar fractional differential equations are presented. Several sufficient conditions for practical stability, practical quasi stability, strongly practical stability of the zero solution and the corresponding uniform types of practical stability are established.
引用
收藏
页码：53 / 68
页数：16
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