Stability of q-fractional non-autonomous systems

被引：89

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

页码：780 / 784

页数：5

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