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  • 标题:Existence and Ulam stability results of a coupled system for terminal value problems involving ψ -Hilfer fractional operator
  • 本地全文:下载
  • 作者:Mohammed S. Abdo ; Kamal Shah ; Satish K. Panchal
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2020
  • 卷号:2020
  • 期号:1
  • 页码:1-21
  • DOI:10.1186/s13662-020-02775-x
  • 出版社:Hindawi Publishing Corporation
  • 摘要:The work reported in this paper deals with the study of a coupled system for fractional terminal value problems involving ψ-Hilfer fractional derivative. The existence and uniqueness theorems to the problem at hand are investigated. Besides, the stability analysis in the Ulam–Hyers sense of a given system is studied. Our discussion is based upon known fixed point theorems of Banach and Krasnoselskii. Examples are also provided to demonstrate the applicability of our results.
  • 关键词:Hilfer fractional differential equation;Terminal value problem;Existence and stability theory;Fixed point theorem;
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