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  • 标题:Misconceptions in using Riemann-Liouville’s and Caputo’s definitions for the description and initialization of fractional partial differential equations
  • 本地全文:下载
  • 作者:Jocelyn Sabatier ; Christophe Farges
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2017
  • 卷号:50
  • 期号:1
  • 页码:8574-8579
  • DOI:10.1016/j.ifacol.2017.08.1421
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractIn this paper, it is shown that neither Riemann-Liouville’s nor Caputo’s definitions can be used to properly take into account initial conditions in the description of a fractional partial differential equation. This demonstration is done on a counterexample. Some suggestions are made to address this problem.
  • 关键词:KeywordsFractional partial differential equationsCaputo’s fractional differentiationRiemann-Liouville’s fractional differentiationinitialization
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