Global existence and large time behavior of solutions of a time fractional reaction diffusion system,Fractional Calculus and Applied Analysis

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Global existence and large time behavior of solutions of a time fractional reaction diffusion system
Fractional Calculus and Applied Analysis ( IF 2.5 ) Pub Date : 2020-04-01 , DOI: 10.1515/fca-2020-0019
Ahmed Alsaedi ₁ , Bashir Ahmad ₁ , Mokhtar Kirane _{1,

2} , Rafika Lassoued ₃

Affiliation

Abstract 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].

中文翻译：

时间分数阶反应扩散系统解的全局存在性和大时间行为

摘要本文利用F. Rothe [20]的反馈方法证明了具有Brusselator类型反应项的时间分数反应扩散系统允许全局解。此外，还获得了关于解的大时间行为的一些结果。我们对 Gal 和 Warma [6] 的宝贵论文中的问题 6 给出了肯定的回答。

更新日期：2020-04-01

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