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Moment stability of fractional stochastic evolution equations with Poisson jumps

Author

Listed:
  • Lei Zhang
  • Yongsheng Ding
  • Kuangrong Hao
  • Liangjian Hu
  • Tong Wang

Abstract

Fractional differential equations have wide applications in science and engineering. In this paper, we consider a class of fractional stochastic partial differential equations with Poisson jumps. Sufficient conditions for the existence and asymptotic stability in pth moment of mild solutions are derived by employing the Banach fixed point principle. Further, we extend the result to study the asymptotic stability of fractional systems with Poisson jumps. An example is provided to illustrate the effectiveness of the proposed results.

Suggested Citation

  • Lei Zhang & Yongsheng Ding & Kuangrong Hao & Liangjian Hu & Tong Wang, 2014. "Moment stability of fractional stochastic evolution equations with Poisson jumps," International Journal of Systems Science, Taylor & Francis Journals, vol. 45(7), pages 1539-1547, July.
    • Handle: RePEc:taf:tsysxx:v:45:y:2014:i:7:p:1539-1547
    DOI: 10.1080/00207721.2013.860642
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    References listed on IDEAS

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    1. Wu, Dongsheng, 2011. "On the solution process for a stochastic fractional partial differential equation driven by space-time white noise," Statistics & Probability Letters, Elsevier, vol. 81(8), pages 1161-1172, August.
    2. Cui, Jing & Yan, Litan & Sun, Xichao, 2011. "Exponential stability for neutral stochastic partial differential equations with delays and Poisson jumps," Statistics & Probability Letters, Elsevier, vol. 81(12), pages 1970-1977.
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    Cited by:

    1. Tamilalagan, P. & Balasubramaniam, P., 2017. "Moment stability via resolvent operators of fractional stochastic differential inclusions driven by fractional Brownian motion," Applied Mathematics and Computation, Elsevier, vol. 305(C), pages 299-307.

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