Stability for Caputo Fractional Differential Systems

被引：95

作者：

Choi, Sung Kyu ^{[1
]}

Kang, Bowon ^{[1
]}

Koo, Namjip ^{[1
]}

机构：

[1] Chungnam Natl Univ, Dept Math, Taejon 305764, South Korea

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

基金：

新加坡国家研究基金会;

关键词：

D O I：

10.1155/2014/631419

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the notion of h-stability for fractional differential systems. Then we investigate the boundedness and h-stability of solutions of Caputo fractional differential systems by using fractional comparison principle and fractional Lyapunov direct method. Furthermore, we give examples to illustrate our results.

引用

页数：6

共 18 条

[1]

[Anonymous], 2006, THEORY APPL FRACTION

[2]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[3] LINEAR MODELS OF DISSIPATION WHOSE Q IS ALMOST FREQUENCY INDEPENDENT-2 [J].

CAPUTO, M .

GEOPHYSICAL JOURNAL OF THE ROYAL ASTRONOMICAL SOCIETY, 1967, 13 (05) :529-&

[4] The monotonic property and stability of solutions of fractional differential equations [J].

Choi, Sung Kyu ;

Koo, Namjip .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (17) :6530-6536

[5]

Kyu Choi Sung, 2013, [Proceedings of the Jangjeon Mathematical Society, Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)], V16, P165

[6] Theory of fractional functional differential equations [J].

Lakshmikantham, V. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (10) :3337-3343

[7] Basic theory of fractional differential equations [J].

Lakshmikantham, V. ;

Vatsala, A. S. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (08) :2677-2682

[8] General uniqueness and monotone iterative technique for fractional differential equations [J].

Lakshmikantham, V. ;

Vatsala, A. S. .

APPLIED MATHEMATICS LETTERS, 2008, 21 (08) :828-834

[9]

Lakshmikantham V., 2007, Commun. Appl. Anal, V11, P395

[10]

LAKSHMIKANTHAM V, 1969, DIFFERENTIAL INTEGRA, V2

← 1 2 →