Stability of a nonlinear non-autonomous fractional order systems with different delays and non-local conditions

Advances in Difference Equations

Ahmed El-Sayed¹  Fatma Gaafar² 

[1] Faculty of Science, Alexandria University, Alexandria, Egypt;Faculty of Science, Damanhour University, Damanhour, Egypt

关键词: Riemann-Liouville derivatives;    nonlocal non-autonomous system;    time-delay system;    stability analysis;   

DOI  :  10.1186/1687-1847-2011-47

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we establish sufficient conditions for the existence of a unique solution for a class of nonlinear non-autonomous system of Riemann-Liouville fractional differential systems with different constant delays and non-local condition is. The stability of the solution will be proved. As an application, we also give some examples to demonstrate our results.

【 授权许可】

CC BY