Remarks on fractional derivatives

被引:622
作者
Li, Changpin
Deng, Weihua
机构
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
关键词
Grunwald-Letnikov derivative; Riemann-Liouville derivative; Caputo derivative; Consistency; sequential property;
D O I
10.1016/j.amc.2006.08.163
中图分类号
O29 [应用数学];
学科分类号
070104 [应用数学];
摘要
In 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.
引用
收藏
页码:777 / 784
页数:8
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