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  • 标题:Stability analysis of nonlinear implicit fractional Langevin equation with noninstantaneous impulses
  • 本地全文:下载
  • 作者:Rizwan Rizwan ; Akbar Zada ; Xiaoming 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:2019
  • 卷号:2019
  • 期号:1
  • 页码:1-31
  • DOI:10.1186/s13662-019-1955-1
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we consider a nonlocal boundary value problem of nonlinear implicit fractional Langevin equation with noninstantaneous impulses. We study the existence, uniqueness and generalized Ulam–Hyers–Rassias stability of the proposed model with the help of fixed point approach, over generalized complete metric space. We give an example which supports our main result.
  • 关键词:Implicit Langevin equation ; Caputo derivative ; noninstantaneous impulses ; Ulam–Hyers–Rassias stability
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