Asymptotic Stability Results for Nonlinear Fractional Difference Equations

被引：31
|
作者：
Chen, Fulai [1 ]
Liu, Zhigang [1 ]
机构：
[1] Xiangnan Univ, Dept Math, Chenzhou 423000, Peoples R China
来源：
JOURNAL OF APPLIED MATHEMATICS | 2012年
关键词：
EXISTENCE; UNIQUENESS; THEOREM;
D O I：
10.1155/2012/879657
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present some results for the asymptotic stability of solutions for nonlinear fractional difference equations involvingRiemann-Liouville-like difference operator. The results are obtained by using Krasnoselskii's fixed point theorem and discrete Arzela-Ascoli's theorem. Three examples are also provided to illustrate our main results.
引用
收藏
页数：14
相关论文
共 50 条
  • [1] Fixed points and asymptotic stability of nonlinear fractional difference equations
    Chen, Fulai
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2011, (39) : 1 - 18
  • [2] ASYMPTOTIC STABILITY AND BOUNDEDNESS OF NONLINEAR DIFFERENCE EQUATIONS
    SINHA, ASC
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1976, 7 (08) : 929 - 934
  • [3] Global asymptotic stability for nonlinear difference equations
    Peng, Yuehui
    APPLIED MATHEMATICS AND COMPUTATION, 2006, 182 (01) : 67 - 72
  • [4] Asymptotic Stability for a Class of Nonlinear Difference Equations
    Wang, Chang-you
    Wang, Shu
    Wang, Zhi-wei
    Gong, Fei
    Wang, Rui-fang
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2010, 2010
  • [5] Asymptotic stability of (q, h)-fractional difference equations
    Wang, Mei
    Du, Feifei
    Chen, Churong
    Jia, Baoguo
    APPLIED MATHEMATICS AND COMPUTATION, 2019, 349 : 158 - 167
  • [6] Global Asymptotic Stability of a Family of Nonlinear Difference Equations
    Liao, Maoxin
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2013, 2013
  • [7] Asymptotic Behavior of Mild Solutions for Nonlinear Fractional Difference Equations
    Zhinan Xia
    Dingjiang Wang
    Fractional Calculus and Applied Analysis, 2018, 21 : 527 - 551
  • [8] ASYMPTOTIC BEHAVIOR OF MILD SOLUTIONS FOR NONLINEAR FRACTIONAL DIFFERENCE EQUATIONS
    Xia, Zhinan
    Wang, Dingjiang
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2018, 21 (02) : 527 - 551
  • [9] GLOBAL ASYMPTOTIC STABILITY OF NONLINEAR DIFFERENCE-EQUATIONS
    FUJIMOTO, T
    ECONOMICS LETTERS, 1986, 22 (2-3) : 247 - 250
  • [10] Asymptotic stability of fractional difference equations with bounded time delays
    Mei Wang
    Baoguo Jia
    Feifei Du
    Xiang Liu
    Fractional Calculus and Applied Analysis, 2020, 23 : 571 - 590
12345