Stability of q-fractional non-autonomous systems

被引：88
|
作者：
Jarad, Fahd [1 ]
Abdeljawad, Thabet [1 ]
Baleanu, Dumitru [1 ]
机构：
[1] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2013年 / 14卷 / 01期
关键词：
q-calculus; q-fractional integral; q-fractional derivative; Stability;
D O I：
10.1016/j.nonrwa.2012.08.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this manuscript, using Lyapunov's direct method, the stability of non-autonomous systems within the frame of the q-Caputo fractional derivative is studied. The conditions for stability, uniform stability and asymptotic stability are discussed. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码：780 / 784
页数：5
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