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文章基本信息

  • 标题:Exponential stability of fractional stochastic differential equations with distributed delay
  • 本地全文:下载
  • 作者:Li Tan
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2014
  • 卷号:2014
  • 期号:1
  • 页码:321
  • DOI:10.1186/1687-1847-2014-321
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Equations driven by fractional Brownian motion are attracting more and more attention. This paper considers fractional stochastic differential equations with distributed delay. With the variation-of-constants formula, an explicit expression and asymptotic behavior of the solution are provided, sufficient conditions are derived to guarantee the p th moment exponential stability and almost surely exponential stability. MSC:39B82, 60H05.
  • 关键词:fractional Brownian motion ; variation-of-constants formula ; exponential stability ; distributed delay
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