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  • 标题:Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type
  • 本地全文:下载
  • 作者:S Abbas ; M Benchohra ; JE Lagreg
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2017
  • 卷号:2017
  • 期号:1
  • 页码:180
  • DOI:10.1186/s13662-017-1231-1
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:This article deals with some existence and Ulam-Hyers-Rassias stability results for a class of functional differential equations involving the Hilfer-Hadamard fractional derivative. An application is made of a Schauder fixed point theorem for the existence of solutions. Next we prove that our problem is generalized Ulam-Hyers-Rassias stable.
  • 关键词:functional differential equation ; left-sided mixed Hadamard fractional integral ; Hilfer-Hadamard fractional derivative ; existence ; Ulam-Hyers-Rassias stability
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