Stability results for the linear degenerate fractional differential system

Advances in Difference Equations

Wei Jiang¹  Fuad E. Alsaadi²  Jinde Cao³  Zhixin Zhang⁴  Ahmed Alsaedi⁴  Jia-Bao Liu⁵ 

[1] Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia;Research Center for Complex Systems and Network Science, Department of Mathematics, Southeast University, Nanjing, P.R. China;School of Mathematical Sciences, Anhui University, Hefei, P.R. China;School of Mathematics and Physics, Anhui Jianzhu University, Hefei, P.R. China

关键词: stability;    explicit representation of solution;    degenerate;    fractional differential system;   

DOI  :  10.1186/s13662-016-0941-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, stability results for the linear degenerate fractional differential system with constant coefficients are presented. First of all, the explicit representation of solution of the system is established based on the algebraic approach. Then stability criteria for the system are given, which are straightforward and suitable for application. Finally, some examples are provided to illustrate the application of the results.

【 授权许可】

CC BY