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  • 标题:Fuzzy stochastic differential equations driven by fractional Brownian motion
  • 本地全文:下载
  • 作者:Hossein Jafari ; Marek T. Malinowski ; M. J. Ebadi
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2021
  • 卷号:2021
  • 期号:1
  • 页码:1
  • DOI:10.1186/s13662-020-03181-z
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we consider fuzzy stochastic differential equations (FSDEs) driven by fractional Brownian motion (fBm). These equations can be applied in hybrid real-world systems, including randomness, fuzziness and long-range dependence. Under some assumptions on the coefficients, we follow an approximation method to the fractional stochastic integral to study the existence and uniqueness of the solutions. As an example, in financial models, we obtain the solution for an equation with linear coefficients.
  • 关键词:Fuzzy set theory ; Fuzzy stochastic processes ; Fuzzy stochastic differential equation ; Fractional Brownian motion
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