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
收藏
页码：951 / 958
页数：8
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