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文章基本信息

  • 标题:Boundary controllability of nonlocal Hilfer fractional stochastic differential systems with fractional Brownian motion and Poisson jumps
  • 本地全文:下载
  • 作者:Hamdy M. Ahmed ; Mahmoud M. El-Borai ; M. Elsaid Ramadan
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2019
  • 卷号:2019
  • 期号:1
  • 页码:1-23
  • DOI:10.1186/s13662-019-2028-1
  • 出版社:Hindawi Publishing Corporation
  • 摘要:By using stochastic analysis, fractional analysis, compact semigroups and the Schauder fixed-point theorem, we discuss the approximate boundary controllability of a nonlocal Hilfer fractional stochastic differential system with fractional Brownian motion and a Poisson jump. In addition, we establish the sufficient conditions for exact null controllability for the same problem. Finally, an example is given to illustrate the results obtained.
  • 关键词:Hilfer fractional stochastic differential system ; Fractional Brownian motion ; Nonlocal condition ; Approximate and null boundary controllability ; Poisson jumps
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