兰州大学机构库 >数学与统计学院
Remarks on fractional derivatives
Li, CP; Deng, WH(邓伟华); Li, CP (reprint author), Shanghai Univ, Dept Math, Shangda Rd 99, Shanghai 200444, Peoples R China.
ESI NOTE2017-07-19;Highly Cited Papers
2007-04-15
Source PublicationAPPLIED MATHEMATICS AND COMPUTATION
ISSN0096-3003
Volume187Issue:2Pages:777-784
AbstractIn this paper, we further discuss the properties of three kinds of fractional derivatives: the Grunwald-Letnikov derivative, the Riemann-Liouville derivative and the Caputo derivative. Especially, we compare the Riemann-Liouville derivative with the Caputo derivative. And sequential property of the Caputo derivative is also derived, which is helpful in translating the higher fractional-order differential systems into lower ones. Besides, we also compare the Riemann-Liouville derivative and the Caputo derivative with the classical derivative. (c) 2006 Elsevier Inc. All rights reserved.
KeywordGrunwald-Letnikov derivative Riemann-Liouville derivative Caputo derivative Consistency sequential property
Subject AreaMathematics
PublisherELSEVIER
DOI10.1016/j.amc.2006.08.163
Publication PlaceNEW YORK
Indexed BySCIE ; EI ; ESI
Language英语
First Inst
WOS IDWOS:000248545300021
SubtypeArticle
EI ID20071710573620
DepartmentShanghai Univ, Dept Math, Shanghai 200444, Peoples R China;
Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
Citation statistics
Cited Times:430[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttps://ir.lzu.edu.cn/handle/262010/117946
Collection数学与统计学院
Corresponding AuthorLi, CP (reprint author), Shanghai Univ, Dept Math, Shangda Rd 99, Shanghai 200444, Peoples R China.
Recommended Citation
GB/T 7714
Li, CP,Deng, WH,Li, CP . Remarks on fractional derivatives[J]. APPLIED MATHEMATICS AND COMPUTATION,2007,187(2):777-784.
APA Li, CP,Deng, WH,&Li, CP .(2007).Remarks on fractional derivatives.APPLIED MATHEMATICS AND COMPUTATION,187(2),777-784.
MLA Li, CP,et al."Remarks on fractional derivatives".APPLIED MATHEMATICS AND COMPUTATION 187.2(2007):777-784.
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