On stable manifolds for planar fractional differential equations

被引：34
|
作者：
Cong, N. D. [1 ]
Doan, T. S. [1 ,2 ]
Siegmund, S. [3 ]
Tuan, H. T. [1 ]
机构：
[1] Vietnam Acad Sci & Technol, Inst Math, Hanoi 10307, Vietnam
[2] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England
[3] Tech Univ Dresden, Ctr Dynam, D-01069 Dresden, Germany
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 226卷
基金：
英国工程与自然科学研究理事会;
关键词：
Fractional differential equations; Caputo derivative; Stable manifold theorem;
D O I：
10.1016/j.amc.2013.10.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish a local stable manifold theorem near a hyperbolic equilibrium point for planar fractional differential equations. The construction of this stable manifold is based on the associated Lyapunov-Perron operator. An example is provided to illustrate the result. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：157 / 168
页数：12
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