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Some results on finite-time stability of stochastic fractional-order delay differential equations

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  • Luo, Danfeng
  • Tian, Mengquan
  • Zhu, Quanxin

Abstract

Finite-time stability of stochastic fractional-order delay differential equations is researched here. Firstly, we derive the equivalent form of the considered system by using the Laplace transformation and its inverse. Subsequently, by defining the maximum weighted norm in Banach space and using the principle of contraction mapping, we prove that the solution of researched system is unique. What's more, by virtue of Henry-Grönwall delay inequality and interval translation, we derive the criterion of finite-time stability for the system with and without impulses, respectively. Finally, as a verification, examples are provided to expound the correctness of the deduced results.

Suggested Citation

  • Luo, Danfeng & Tian, Mengquan & Zhu, Quanxin, 2022. "Some results on finite-time stability of stochastic fractional-order delay differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    • Handle: RePEc:eee:chsofr:v:158:y:2022:i:c:s0960077922002065
    DOI: 10.1016/j.chaos.2022.111996
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    References listed on IDEAS

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    Cited by:

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    8. Jiang, Ziling & Huang, Fan & Shao, Haijian & Cai, Shuiming & Lu, Xiaobo & Jiang, Shengqin, 2023. "Time-varying finite-time synchronization analysis of attack-induced uncertain neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).

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