Unexpected behavior of Caputo fractional derivative

被引：14

作者：

Bazaglia Kuroda, Lucas Kenjy ^{[1
]}

Gomes, Arianne Vellasco ^{[2
]}

Tavoni, Robinson ^{[1
]}

de Arruda Mancera, Paulo Fernando ^{[1
]}

Varalta, Najla ^{[2
]}

Camargo, Rubens de Figueiredo ^{[3
]}

机构：

[1] UNESP, Inst Biociencias, Dept Bioestat, BR-18618689 Botucatu, SP, Brazil

[2] UNESP, Fac Ciencias, Ave Engn Luiz Edmundo Carrijo Coube,14-01, BR-17033360 Bauru, SP, Brazil

[3] UNESP, Dept Matemat, Fac Ciencias, Ave Engn Luiz Edmundo Carrijo Coube,14-01, BR-17033360 Bauru, SP, Brazil

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2017年 / 36卷 / 03期

关键词：

Caputo fractional derivative; Fractional modeling; Fractional calculus; Fractional harmonic oscillator; Fractional logistic equation;

D O I：

10.1007/s40314-015-0301-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper discusses the modeling via mathematical methods based on fractional calculus, using Caputo fractional derivative. From the fractional models associated with harmonic oscillator, logistic equation and Malthusian growth, an unexpected behavior of the Caputo fractional derivative is discussed. The difference between the rate of variation and the order of the Caputo fractional derivative is explained.

引用

页码：1173 / 1183

页数：11

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