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  • 标题:On impulsive partial differential equations with Caputo-Hadamard fractional derivatives
  • 本地全文:下载
  • 作者:Xianmin Zhang
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2016
  • 卷号:2016
  • 期号:1
  • 页码:281
  • DOI:10.1186/s13662-016-1008-y
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, the mixed Caputo-Hadamard fractional derivative is introduced based on the Caputo-type modification of Hadamard fractional derivatives in the existing paper, and impulsive partial differential equations with Caputo-Hadamard fractional derivatives are studied. The formula of a general solution for these impulsive fractional partial differential equations is found by considering some limiting cases (impulses tending to zero), and its validity is shown by an example.
  • 关键词:impulsive fractional partial differential equations ; fractional partial differential equations ; impulse ; general solution
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