Stability analysis for coupled systems of fractional differential equations on networks

Hong Li Li; Yao Lin Jiang; Zuolei Wang; Xiaomei Feng; Zhidong Teng

doi:10.1080/00207160.2015.1105361

Stability analysis for coupled systems of fractional differential equations on networks

Hong Li Li
, Yao Lin Jiang
, Zuolei Wang
, Xiaomei Feng
, Zhidong Teng

数学与统计学院

Xinjiang University
Yancheng Teachers University
Yuncheng University

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

This paper considers the stability problem for some coupled systems of fractional differential equations on networks (CSFDENs). We provide a systematic method for constructing a Lyapunov function for CSFDENs by using graph theory and the Lyapunov method. Consequently, some sufficient conditions for stability, uniform stability and uniform asymptotic stability of CSFDENs are obtained. Finally, an example and some numerical simulations are presented to verify the effectiveness of the theoretical results.

源语言	英语
页（从-至）	263-274
页数	12
期刊	International Journal of Computer Mathematics
卷	94
期	2
DOI	https://doi.org/10.1080/00207160.2015.1105361
出版状态	已出版 - 1 2月 2017

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10.1080/00207160.2015.1105361

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title = "Stability analysis for coupled systems of fractional differential equations on networks",

abstract = "This paper considers the stability problem for some coupled systems of fractional differential equations on networks (CSFDENs). We provide a systematic method for constructing a Lyapunov function for CSFDENs by using graph theory and the Lyapunov method. Consequently, some sufficient conditions for stability, uniform stability and uniform asymptotic stability of CSFDENs are obtained. Finally, an example and some numerical simulations are presented to verify the effectiveness of the theoretical results.",

keywords = "Lyapunov function, coupled systems on networks, fractional differential equations, graph theory, stability",

author = "Li, \{Hong Li\} and Jiang, \{Yao Lin\} and Zuolei Wang and Xiaomei Feng and Zhidong Teng",

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T1 - Stability analysis for coupled systems of fractional differential equations on networks

AU - Li, Hong Li

AU - Jiang, Yao Lin

AU - Wang, Zuolei

AU - Feng, Xiaomei

AU - Teng, Zhidong

PY - 2017/2/1

Y1 - 2017/2/1

N2 - This paper considers the stability problem for some coupled systems of fractional differential equations on networks (CSFDENs). We provide a systematic method for constructing a Lyapunov function for CSFDENs by using graph theory and the Lyapunov method. Consequently, some sufficient conditions for stability, uniform stability and uniform asymptotic stability of CSFDENs are obtained. Finally, an example and some numerical simulations are presented to verify the effectiveness of the theoretical results.

AB - This paper considers the stability problem for some coupled systems of fractional differential equations on networks (CSFDENs). We provide a systematic method for constructing a Lyapunov function for CSFDENs by using graph theory and the Lyapunov method. Consequently, some sufficient conditions for stability, uniform stability and uniform asymptotic stability of CSFDENs are obtained. Finally, an example and some numerical simulations are presented to verify the effectiveness of the theoretical results.

KW - Lyapunov function

KW - coupled systems on networks

KW - fractional differential equations

KW - graph theory

KW - stability

UR - https://www.scopus.com/pages/publications/84946882122

U2 - 10.1080/00207160.2015.1105361

DO - 10.1080/00207160.2015.1105361

M3 - 文章

AN - SCOPUS:84946882122

SN - 0020-7160

VL - 94

SP - 263

EP - 274

JO - International Journal of Computer Mathematics

JF - International Journal of Computer Mathematics

IS - 2

ER -

Stability analysis for coupled systems of fractional differential equations on networks

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