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On a time fractional reaction diffusion equation
Journal article   Peer reviewed

On a time fractional reaction diffusion equation

B. Ahmad, M. S. Alhothuali, H. H. Alsulami, M. Kirane and S. Timoshin
Applied mathematics and computation, Vol.257, pp.199-204
15/04/2015
DOI: https://doi.org/10.1016/j.amc.2014.06.099

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
A reaction diffusion equation with a Caputo fractional derivative in time and with various boundary conditions 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 will be analyzed. (C) 2014 Elsevier Inc. All rights reserved.

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