Ulam-Hyers Stability for a Class of Caputo-Type Fractional Stochastic System with Delays

被引：0
|
作者：
Song, Meiling [1 ]
Luo, Zhiguo [2 ]
机构：
[1] Guangxi Coll Presch Educ, Nanning 530000, Peoples R China
[2] Hunan Normal Univ, Sch Math & Stat, Changsha 410081, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2022年 / 2022卷
关键词：
DIFFERENTIAL-EQUATIONS; APPROXIMATE SOLUTIONS; EVOLUTION EQUATIONS; EXISTENCE;
D O I：
10.1155/2022/5898922
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this study, we explore the Caputo-type fractional stochastic differential equations (FSDEs) with delays. Firstly, the existence and uniqueness of the solutions for the considered system are obtained under the non-Lipschitz condition by using the Caratheodory approximation method with the aid of Fatous Lemma, Ito isometry, Cauchy-Schwarz inequality, and Gronwall's inequality. Secondly, we study the Ulam-Hyers (U-H) stability of the addressed equations with the aid of the Cauchy-Schwarz inequality and Gronwall's inequality. Finally, an example with numerical simulation is presented to support the validity of our theory.
引用
收藏
页数：16
相关论文
共 50 条
  • [41] A Uniform Method to Ulam-Hyers Stability for Some Linear Fractional Equations
    Wang, JinRong
    Li, Xuezhu
    [J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (02) : 625 - 635
  • [42] Ulam-Hyers stability of uncertain functional differential equation in fuzzy setting with Caputo-Hadamard fractional derivative concept
    Ho Vu
    Truong Vinh An
    Ngo Van Hoa
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2020, 38 (02) : 2245 - 2259
  • [43] Existence And Uniqueness Of Solution For A Mixed-Type Fractional Differential Equation And Ulam-Hyers Stability
    Ouagueni, Nora
    Arioua, Yacine
    [J]. APPLIED MATHEMATICS E-NOTES, 2022, 22 : 476 - 495
  • [44] Nonlinear boundary value problems for mixed-type fractional equations and Ulam-Hyers stability
    Wang, Huiwen
    Li, Fang
    [J]. OPEN MATHEMATICS, 2020, 18 : 916 - 929
  • [45] Existence and Stability of Ulam-Hyers for Neutral Stochastic Functional Differential Equations
    Selvam, Arunachalam
    Sabarinathan, Sriramulu
    Pinelas, Sandra
    Suvitha, Vaidhiyanathan
    [J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2024, 50 (01)
  • [46] Exp-type Ulam-Hyers stability of fractional differential equations with positive constant coefficient
    Zhuoyan Gao
    Xiulan Yu
    JinRong Wang
    [J]. Advances in Difference Equations, 2015
  • [47] Exp-type Ulam-Hyers stability of fractional differential equations with positive constant coefficient
    Gao, Zhuoyan
    Yu, Xiulan
    Wang, JinRong
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [48] HYERS-ULAM-RASSIAS STABILITY OF κ-CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS
    Yao, Hui
    Jin, Wenqi
    Dong, Qixiang
    [J]. JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2024, 14 (05): : 2903 - 2921
  • [49] Existence and Ulam-Hyers stability results of a coupled system of ψ-Hilfer sequential fractional differential equations
    Almalahi, Mohammed A.
    Abdo, Mohammed S.
    Panchal, Satish K.
    [J]. RESULTS IN APPLIED MATHEMATICS, 2021, 10
  • [50] Ulam-Hyers stability for partial differential inclusions
    Lazar, Vasile L.
    [J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2012, (21) : 1 - 19
12345