GLOBAL EXISTENCE AND LARGE TIME BEHAVIOR OF SOLUTIONS OF A TIME FRACTIONAL REACTION DIFFUSION SYSTEM

被引：5

作者：

Alsaedi, Ahmed ^{[1
]}

Ahmad, Bashir ^{[1
]}

Kirane, Mokhtar ^{[1
,2
]}

Lassoued, Rafika ^{[3
]}

机构：

[1] King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia

[2] La Rochelle Univ, LaSIE, UMR CNRS 7356, Ave M Crepeau, F-17042 La Rochelle, France

[3] Fac Sci Monastir, Lab Math Appl & Anal Harmon, Ave Environm, Monastir 5019, Tunisia

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2020年 / 23卷 / 02期

关键词：

reaction-diffusion system; fractional calculus; Caputo derivative; local and global existence; large time behavior; MAXIMUM PRINCIPLE; BRUSSELATOR; EQUATIONS;

D O I：

10.1515/fca-2020-0019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, it is proved that a time fractional reaction diffusion system with reaction terms of the Brusselator type admits a global solution by using the feedback method of F. Rothe [20]. Furthermore, some results on the large time behavior of the solutions are obtained. We give a positive answer to Problem 6 of the valuable paper of Gal and Warma [6].

引用

页码：390 / 407

页数：18

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