Asymptotic stability of (q, h)-fractional difference equations

被引：7
作者：
Wang, Mei [1 ]
Du, Feifei [1 ]
Chen, Churong [1 ]
Jia, Baoguo [1 ,2 ]
机构：
[1] Sun Yat Sen Univ, Sch Math, Guangzhou 510275, Guangdong, Peoples R China
[2] Sun Yat Sen Univ, Guangdong Prov Key Lab Computat Sci, Guangzhou 510275, Guangdong, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2019年 / 349卷
基金：
中国国家自然科学基金;
关键词：
Nabla; (q; h)-fractional difference; Asymptotic stability; Liapunov functional; NABLA FRACTIONAL (Q; POSITIVE SOLUTIONS; SYSTEMS;
D O I：
10.1016/j.amc.2018.12.039
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Asymptotic stability of linear nabla Riemann-Liouville (q, h)-fractional difference equation is investigated in this paper. A Liapunov functional is constructed for the fractional difference equation. The sufficient condition for the asymptotic stability of considered equations is proposed. The results are illustrated with the corresponding numerical examples. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：158 / 167
页数：10
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