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  • 标题:Nonlocal stochastic integro-differential equations driven by fractional Brownian motion
  • 本地全文:下载
  • 作者:Jing Cui ; Zhi Wang
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2016
  • 卷号:2016
  • 期号:1
  • 页码:115
  • DOI:10.1186/s13662-016-0843-1
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we study the existence of mild solutions for nonlocal stochastic integro-differential equations driven by fractional Brownian motions with Hurst parameter H > 1 2 $H> rac),$ in a Hibert space. Sufficient conditions for the existence of mild solutions are derived by means of the Leray-Schauder nonlinear alternative. A special case of this result is given and an example is provided to illustrate the effectiveness of the proposed result.
  • 关键词:stochastic integro-differential equations ; fractional Brownian motion ; nonlocal condition
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