文章基本信息

标题：Misconceptions in using Riemann-Liouville’s and Caputo’s definitions for the description and initialization of fractional partial differential equations
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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