文章基本信息

标题：Discussion on fractional order derivatives
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作者：Yiheng Wei ; Yuquan Chen ; Songsong Cheng 等
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：7002-7006
DOI：10.1016/j.ifacol.2017.08.1343
语种：English
出版社：Elsevier
摘要：AbstractAn ancient topic as this paper focuses on, some innovative insightful interesting observations are surely provided. On one hand, by expanding the range of integration order in Riemann-Liouville derivative and Caputo derivative, a new type of definitions are given for fractional order derivatives. On the other hand, a novel representation based on Taylor series is formulated, which is helpful to unravel some uncanny feature and handle some hard issues. The advantage of the proposed results lies in that a deeper understanding of fractional order calculus is achieved and it facilitates the relevant application.
关键词：KeywordsFractional order calculusIntegration orderSingularityTaylor series