Finite-time stability of nonlinear stochastic ?-Hilfer fractional systems with time delay

被引：3
|
作者：
Yang, Qing [1 ]
Bai, Chuanzhi [1 ]
Yang, Dandan [1 ]
机构：
[1] Huaiyin Normal Univ, Dept Math, Huaian 223300, Jiangsu, Peoples R China
来源：
AIMS MATHEMATICS | 2022年 / 7卷 / 10期
关键词：
-Hilfer fractional derivative; generalized Gronwall?s inequality; finite time stability; EXISTENCE;
D O I：
10.3934/math.20221037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the finite time stability of stochastic psi-Hilfer fractional-order time -delay systems. Under the stochastic analysis techniques and the generalized Gronwall's inequality for psi-fractional derivative, the criterion of finite time stability of the solution for nonlinear stochastic psi-Hilfer fractional systems with time delay is obtained. An example is provided to illustrate the effectiveness of the proposed methods. Some known results in the literature are extended.
引用
收藏
页码：18837 / 18852
页数：16
相关论文
共 50 条
  • [1] A Result Regarding Finite-Time Stability for Hilfer Fractional Stochastic Differential Equations with Delay
    Li, Man
    Niu, Yujun
    Zou, Jing
    FRACTAL AND FRACTIONAL, 2023, 7 (08)
  • [2] Finite-Time Stability to Fractional Delay Cauchy Problem of Hilfer Type
    Salem, Ahmed
    Babusail, Rawia
    El-Shahed, Moustafa
    Elozli, M.
    CONTEMPORARY MATHEMATICS, 2023, 4 (04): : 733 - 749
  • [3] Finite-Time Stability in Nonhomogeneous Delay Differential Equations of Fractional Hilfer Type
    Salem, Ahmed
    Babusail, Rawia
    MATHEMATICS, 2022, 10 (09)
  • [4] Finite-time stability of multiterm fractional nonlinear systems with multistate time delay
    Arthi, G.
    Brindha, N.
    Ma, Yong-Ki
    ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
  • [5] Finite-time stability of multiterm fractional nonlinear systems with multistate time delay
    G. Arthi
    N. Brindha
    Yong-Ki Ma
    Advances in Difference Equations, 2021
  • [6] Finite-time stability of a class of nonlinear fractional delay difference systems
    Du, Feifei
    Jia, Baoguo
    APPLIED MATHEMATICS LETTERS, 2019, 98 (233-239) : 233 - 239
  • [7] Finite-Time Stability Analysis of Fractional Delay Systems
    Elshenhab, Ahmed M.
    Wang, Xingtao
    Cesarano, Clemente
    Almarri, Barakah
    Moaaz, Osama
    MATHEMATICS, 2022, 10 (11)
  • [8] The finite-time stability of nonlinear impulsive delay systems
    Cai, Yingying
    Gao, Lijun
    2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 2279 - 2284
  • [9] NEW FINITE-TIME STABILITY ANALYSIS OF STOCHASTIC FRACTIONAL-ORDER TIME-DELAY SYSTEMS
    Ben Makhlouf, Abdellatif
    Mchiri, Lassaad
    Arfaoui, Hassen
    Rguigui, Hafedh
    ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2023, 53 (04) : 1011 - 1018
  • [10] Finite-time stability of fractional-order stochastic singular systems with time delay and white noise
    Mathiyalagan, Kalidass
    Balachandran, Krishnan
    COMPLEXITY, 2016, 21 (S2) : 370 - 379
12345