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
相关论文
共 50 条
  • [31] Stability in non-autonomous periodic systems with grazing stationary impacts
    Akhmet, Marat
    Kivilcim, Aysegul
    CARPATHIAN JOURNAL OF MATHEMATICS, 2017, 33 (01) : 1 - 8
  • [32] STABILITY AND FORWARD ATTRACTORS FOR NON-AUTONOMOUS IMPULSIVE SEMIDYNAMICAL SYSTEMS
    Bonotto, Everaldo de Mello
    Demuner, Daniela Paula
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 19 (04) : 1979 - 1996
  • [33] Lyapunov Exponents, Sensitivity, and Stability for Non-Autonomous Discrete Systems
    Shao, Hua
    Shi, Yuming
    Zhu, Hao
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2018, 28 (07):
  • [34] On stability and event trigger control of fractional neural networks by fractional non-autonomous Halanay inequalities
    Wang, Feng-Xian
    Zhang, Jie
    Shu, Yan-Jun
    Liu, Xin-Ge
    CHAOS SOLITONS & FRACTALS, 2023, 170
  • [35] Other q-Fractional Calculi
    Ismail, Mourad
    Q-FRACTIONAL CALCULUS AND EQUATIONS, 2012, 2056 : 147 - 173
  • [36] On the effect of damping on stability properties of equilibria of non-autonomous systems
    Khatvani, L.
    Prikladnaya Matematika i Mekhanika, 2001, 65 (04): : 725 - 732
  • [37] GLOBAL STABILITY OF A CLASS OF NON-AUTONOMOUS DELAY DIFFERENTIAL SYSTEMS
    Liu, Bingwen
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (03) : 975 - 985
  • [38] Permanence and stability in non-autonomous logistic systems with infinite delay
    Teng, ZD
    DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2002, 17 (03): : 187 - 202
  • [39] Stability in Nonlinear Neutral Caputo q-Fractional Difference Equations
    Mesmouli, Mouataz Billah
    Ardjouni, Abdelouaheb
    MATHEMATICS, 2022, 10 (24)
  • [40] OBSERVABILITY FOR NON-AUTONOMOUS SYSTEMS
    Bombach, Clemens
    Gabel, Fabian
    Seifert, Christian
    Tautenhahn, Martin
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2023, 61 (01) : 315 - 341
12345