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文章基本信息

  • 标题:Exponential stability behavior of neutral stochastic integrodifferential equations with fractional Brownian motion and impulsive effects
  • 本地全文:下载
  • 作者:Yong-Ki Ma ; G. Arthi ; S. Marshal Anthoni
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2018
  • 卷号:2018
  • 期号:1
  • 页码:110
  • DOI:10.1186/s13662-018-1562-6
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, by employing the fractional power of operators, semigroup theory, and fixed point strategy we obtain some new criteria ensuring the existence and exponential stability of a class of impulsive neutral stochastic integrodifferential equations driven by a fractional Brownian motion. We establish some new sufficient conditions that ensure the exponential stability of mild solution in the mean square moment by utilizing an impulsive integral inequality. Also, we provide an example to show the efficiency of the obtained theoretical result.
  • 关键词:Existence ; Exponential stability ; Stochastic system ; Impulsive ; Fractional Brownian motion
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