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

页码：390 / 407

页数：17

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