Caputo fractional continuous cobweb models

被引：12
作者：
Chen, Churong [1 ]
Bohner, Martin [2 ]
Jia, Baoguo [1 ]
机构：
[1] Sun Yat Sen Univ, Sch Math, Guangdong Prov Key Lab Computat Sci, Guangzhou 510275, Peoples R China
[2] Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO 65409 USA
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2020年 / 374卷
关键词：
Cobweb model; Mittag-Leffler function; Caputo fractional derivative; STABILITY; EQUATIONS;
D O I：
10.1016/j.cam.2020.112734
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider two types of dynamic cobweb models with Caputo fractional derivative. We obtain the analytical solutions, which allow us to provide sufficient conditions for the stability of the equilibrium. In order to illustrate our main results, we present two numerical examples in the end. Some classic results of cobweb models are included in the results obtained in this paper. (C) 2020 Elsevier B.V. All rights reserved.
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页数：9
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