THE ASYMPTOTIC BEHAVIOUR OF FRACTIONAL LATTICE SYSTEMS WITH VARIABLE DELAY

被引：4
|
作者：
Liu, Linfang [1 ]
Caraballo, Tomas [2 ]
Kloeden, Peter E. [3 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Math & Stat, Dept Appl Math, Xianning West Rd 28, Xian 710049, Shaanxi, Peoples R China
[2] Univ Seville, Fac Matemat, Dept Ecuac Diferenciales & Anal Numer, C Tarfia S-N, E-41012 Seville, Spain
[3] Univ Tubingen, Dept Math Inst, D-72076 Tubingen, Germany
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2019年 / 22卷 / 03期
关键词：
fractional substantial derivative; fractional lattice systems; variable delay; Leray-Schauder theorem; global attracting sets; ALGORITHMS;
D O I：
10.1515/fca-2019-0038
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence and uniqueness of global solutions for a fractional functional differential equation is established. The asymptotic behaviour of a lattice system with a fractional substantial time derivative and variable time delays is investigated. The existence of a global attracting set is established. It is shown to be a singleton set under a certain condition on the Lipschitz constant.
引用
收藏
页码：681 / 698
页数：18
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