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  • 标题:Ulam–Hyers–Mittag-Leffler stability for ψ -Hilfer fractional-order delay differential equations
  • 作者:Kui Liu ; Kui Liu ; JinRong 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:50
  • DOI:10.1186/s13662-019-1997-4
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we present results on the existence, uniqueness, and Ulam–Hyers–Mittag-Leffler stability of solutions to a class of ψ-Hilfer fractional-order delay differential equations. We use the Picard operator method and a generalized Gronwall inequality involved in a ψ-Riemann–Liouville fractional integral. Finally, we give two examples to illustrate our main theorems.
  • 关键词:ψ -Hilfer fractional-order delay differential equations ; Solutions ; Existence ; Stability
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