A new look at the fractionalization of the logistic equation

被引：22

作者：

Ortigueira, Manuel ^{[1
,2
,5
]}

Bengochea, Gabriel ^{[3
,4
]}

机构：

[1] Univ Nova Lisboa, CTS UNINOVA, Campus FCT UNL, P-2829516 Quinta Da Torre, Caparica, Portugal

[2] Univ Nova Lisboa, Fac Sci & Technol, Dept Elect Engn, Campus FCT UNL, P-2829516 Quinta Da Torre, Caparica, Portugal

[3] Univ Autonoma Metropolitana, Dept Matemat, Apartado 55-534, Mexico City, DF, Mexico

[4] Univ Autonoma Ciudad Mexico, Acad Matemat, Mexico City, DF, Mexico

[5] INESC ID, Lisbon, Portugal

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2017年 / 467卷

关键词：

Grunwald-Letnikov fractional derivative; Fractional calculus; Fractional logistic equation;

D O I：

10.1016/j.physa.2016.10.052

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The fractional version of the logistic equation will be studied in this paper. Motivated by unsuccessful previous papers, we showed how to obtain the correct solution. The algorithm is very simple. Its numerical implementation will be studied and exemplified using a Fade approximation. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：554 / 561

页数：8

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