Stability analysis for coupled systems of fractional differential equations on networks

作者：Li, Hong-Li^*; Jiang, Yao-Lin; Wang, Zuolei; Feng, Xiaomei; Teng, Zhidong

来源：International Journal of Computer Mathematics, 2017, 94(2): 263-274.

DOI：10.1080/00207160.2015.1105361

• stability
• coupled systems on networks
• fractional differential equations
• graph theory
• Lyapunov function
• 34A08
• 34D20

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.

• 出版日期2017
• 单位盐城师范学院; 西安交通大学; 运城学院; 新疆大学