Global existence and large time behavior of solutions of a time fractional reaction diffusion system

被引：0
作者：
Ahmed Alsaedi
Bashir Ahmad
Mokhtar Kirane
Rafika Lassoued
机构：
[1] King Abdulaziz University,Nonlinear Analysis and Applied Mathematics (NAAM)
[2] La Rochelle University,Research Group, Department of Mathematics, Faculty of Science
[3] Laboratoire de mathématiques appliquées et de ľanalyse harmonique Avenue de ľenvironnement,LaSIE
来源：
Fractional Calculus and Applied Analysis | 2020年 / 23卷
关键词：
Primary 35B01; Secondary 35B40; 26A33; reaction-diffusion system; fractional calculus; Caputo derivative; local and global existence; large time behavior;
D O I：
暂无
中图分类号：
学科分类号：
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
收藏
页码：390 / 407
页数：17
相关论文
共 42 条
[31]  
Herschkowitz-Kaufmann M(undefined)undefined undefined undefined undefined-undefined
[32]  
Sakamoto K(undefined)undefined undefined undefined undefined-undefined
[33]  
Yamamoto M(undefined)undefined undefined undefined undefined-undefined
[34]  
Tzou JC(undefined)undefined undefined undefined undefined-undefined
[35]  
Matkowsky BJ(undefined)undefined undefined undefined undefined-undefined
[36]  
Volpert VA(undefined)undefined undefined undefined undefined-undefined
[37]  
Vergara V(undefined)undefined undefined undefined undefined-undefined
[38]  
Zacher R(undefined)undefined undefined undefined undefined-undefined
[39]  
Wang R-N(undefined)undefined undefined undefined undefined-undefined
[40]  
Chen D-H(undefined)undefined undefined undefined undefined-undefined
12345