StabilIty of Scalar Nonlinear Fractional Differential Equations with Linearly Dominated Delay

被引：0
|
作者：
Hoang The Tuan
Stefan Siegmund
机构：
[1] Institute of Mathematics Vietnam Academy of Science and Technology,Center for Dynamics
[2] Faculty of Mathematics,undefined
[3] TU Dresden,undefined
来源：
Fractional Calculus and Applied Analysis | 2020年 / 23卷
关键词：
Primary 26A33; Secondary 33E12; 34A08; 34K37; 45M10; scalar nonlinear fractional differential equations with delay; characteristic function; special functions; asymptotic stability;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the asymptotic behavior of solutions to a scalar fractional delay differential equations around the equilibrium points. More precise, we provide conditions on the coefficients under which a linear fractional delay equation is asymptotically stable and show that the asymptotic stability of the trivial solution is preserved under a small nonlinear Lipschitz perturbation of the fractional delay differential equation.
引用
收藏
页码：250 / 267
页数：17
相关论文
共 50 条
  • [21] Stability of highly nonlinear hybrid stochastic integro-differential delay equations
    Fei, Chen
    Shen, Mingxuan
    Fei, Weiyin
    Mao, Xuerong
    Yan, Litan
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2019, 31 : 180 - 199
  • [22] Analytical and numerical stability of nonlinear neutral delay integro-differential equations
    Hu, Peng
    Huang, Chengming
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2011, 348 (06): : 1082 - 1100
  • [23] Stability analysis of a class of stochastic differential delay equations with nonlinear impulsive effects
    Li, Chunxiang
    Sun, Jitao
    Sun, Ruoyan
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2010, 347 (07): : 1186 - 1198
  • [24] Dissipativity and asymptotic stability of nonlinear neutral delay integro-differential equations
    Wen, Liping
    Wang, Wansheng
    Yu, Yuexin
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) : 1746 - 1754
  • [25] Stability analysis of general linear methods for nonlinear neutral delay differential equations
    Yu, Yuexin
    Wen, Liping
    Li, Shoufu
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 187 (02) : 1389 - 1398
  • [26] Asymptotic stability of linear multistep methods for nonlinear neutral delay differential equations
    Hu, Peng
    Huang, Chengming
    Wu, Shulin
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 211 (01) : 95 - 101
  • [27] STABILITY ANALYSIS OF HIGHLY NONLINEAR HYBRID MULTIPLE-DELAY STOCHASTIC DIFFERENTIAL EQUATIONS
    Fei, Chen
    Fei, Weiyin
    Mao, Xuerong
    Shen, Mingxuan
    Yan, Litan
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2019, 9 (03): : 1053 - 1070
  • [28] Stability Analysis of Analytical and Numerical Solutions to Nonlinear Delay Differential Equations with Variable Impulses
    Liu, X.
    Zeng, Y. M.
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2017, 2017
  • [29] STABILITY OF SOLUTIONS FOR CERTAIN THIRD-ORDER NONLINEAR STOCHASTIC DELAY DIFFERENTIAL EQUATIONS
    A.M.A.Abou-El-Ela
    A.I.Sadek
    A.M.Mahmoud
    E.S.Farghaly
    Annals of Applied Mathematics, 2015, 31 (03) : 253 - 261
  • [30] Stability of one-leg θ-methods for nonlinear neutral differential equations with proportional delay
    Wang, Wansheng
    Qin, Tingting
    Li, Shoufu
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 213 (01) : 177 - 183
12345