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文章基本信息

  • 标题:Note on the solution of random differential equations via ψ -Hilfer fractional derivative
  • 本地全文:下载
  • 作者:S. Harikrishnan ; Kamal Shah ; Dumitru Baleanu
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2018
  • 卷号:2018
  • 期号:1
  • 页码:224
  • DOI:10.1186/s13662-018-1678-8
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This manuscript is devoted to an investigation of the existence, uniqueness and stability of random differential equations with ψ-Hilfer fractional derivative. The concerned investigation of existence and uniqueness is obtained via the Schauder fixed point theorem and Banach contraction principle, respectively. Furthermore, for the respective solutions, some results related to different kinds of Ulam type stability including Hyers–Ulam, and generalized Hyers–Ulam, Hyers–Ulam–Rassias are obtained.
  • 关键词:Random differential equations ; ψ -Hilfer fractional derivative ; Existence theory ; Stability analysis
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