The asymptotic behaviour of fractional lattice systems with variable delay-Reference-Cited by-同舟云学术

The asymptotic behaviour of fractional lattice systems with variable delay

Published:2019-06-01 Issue:3 Volume:22 Page:681-698
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Liu Linfang¹,Caraballo Tomás²,Kloeden Peter E.³

Affiliation:

1. Dept. Applied Mathematics , School of Mathematics and Statistics Xi’an Jiaotong Univeristy , Xianning West Road 28, 710049, Xi’an , Shaanxi , P.R. China

2. Dpto. Ecuaciones Diferenciales y Análisis Numérico Facultad de Matemáticas , Universidad de Sevilla , c/Tarfia s/n, 41012 , Sevilla , Spain

3. Dpto. Mathematisches Institut , Universität Tübingen , D-72076 , Tübingen , Germany

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2019-0038/pdf

Reference13 articles.

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5. M. Chen and W. Deng, Discretized fractional substantial calculus. ESAIM Math. Model. Numer. Anal. 49 (2015), 373–394.

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