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文章基本信息

  • 标题:Study of implicit delay fractional differential equations under anti-periodic boundary conditions
  • 本地全文:下载
  • 作者:Arshad Ali ; Kamal Shah ; Thabet Abdeljawad
  • 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:1-16
  • DOI:10.1186/s13662-020-02597-x
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This research work is related to studying a class of special type delay implicit fractional order differential equations under anti-periodic boundary conditions. With the help of classical fixed point theory due to Schauder and Banach, we derive some results about the existence of at least one solution. Further, we also study some results including Hyers–Ulam, generalized Hyers–Ulam, Hyers–Ulam Rassias, and generalized Hyers–Ulam–Rassias stability. We provide some test problems for illustrating our analysis.
  • 关键词:Pantograph differential equation;Existence theory;Hyers–Ulam stability;
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