On a time fractional reaction diffusion equation

B. Ahmad, M.S. Alhothuali, H.H. Alsulami, M. Kirane and S. Timoshin

Applied Mathematics and Computation, 2015, vol. 257, issue C, 199-204

Abstract: 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.

Keywords: Reaction–diffusion equation; Caputo fractional derivative; Global existence; Blow-up (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:257:y:2015:i:c:p:199-204

DOI: 10.1016/j.amc.2014.06.099

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