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arXiv · 1901.06632

Global existence and blow-up for space and time nonlocal reaction-diffusion equation

Ahmed Alsaedi·Mokhtar Kirane·Berikbol T. Torebek
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Abstract

A time-space fractional reaction-diffusion equation in a bounded 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.

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Ahmed Alsaedi, Mokhtar Kirane, Berikbol T. Torebek. 2020-04-07. Global existence and blow-up for space and time nonlocal reaction-diffusion equation. https://arxiv.org/abs/1901.06632

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