Global existence and asymptotic behavior for a time fractional reaction-diffusion system

被引：15

作者：

Alsaedi, Ahmed ^{[1
]}

Kirane, Mokhtar ^{[2
]}

Lassoued, Rafika ^{[3
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

[2] Univ La Rochelle, Lab Sci Ingn Environnm Poles Sci & Technol, Ave Michel Crepeau, F-17000 La Rochelle 1, France

[3] Labo Math Appl & Analyse Harmon, Ave Environnm, Monastir 5019, Tunisia

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2017年 / 73卷 / 06期

关键词：

Fractional calculus; Reaction-diffusion equations; Balance law; Global existence; Asymptotic behavior; EQUATIONS;

D O I：

10.1016/j.camwa.2016.05.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the existence of global in time solutions of a time fractional reaction diffusion system with time fractional derivatives. Furthermore, the large time behavior of bounded solutions is investigated. Our method of proof relies on a maximal regularity result for fractional linear reaction diffusion equations that has been derived by Bajlekova (2001). (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：951 / 958

页数：8

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