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Global existence and blow-up for a space and time nonlocal reaction-diffusion equation
Quaestiones Mathematicae ( IF 0.6 ) Pub Date : 2020-07-13 , DOI: 10.2989/16073606.2020.1745923
Ahmed Alsaedi 1 , Mokhtar Kirane 2, 3 , Berikbol T. Torebek 4, 5, 6
Affiliation  

A time-space fractional reaction-diffusion equation in a bounded and in an unbounded domain is considered. Under some conditions on the initial data, we show that solutions may experience blow-up in a finite time. However, for realistic initial conditions, solutions are global in time. Moreover, the asymptotic behavior of bounded solutions is analysed.

中文翻译:

时空非局域反应-扩散方程的全局存在与爆发

考虑了有界和无界域中的时空分数反应扩散方程。在初始数据的某些条件下,我们表明解决方案可能会在有限的时间内经历爆炸。然而,对于现实的初始条件,解在时间上是全局的。此外,分析了有界解的渐近行为。
更新日期:2020-07-13
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