@article{b9f671bc3b804dec8d77694d42b0c50f,
title = "On a time fractional reaction diffusion equation",
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 = "Blow-up, Caputo fractional derivative, Global existence, Reaction-diffusion equation",
author = "B. Ahmad and Alhothuali, {M. S.} and Alsulami, {H. H.} and M. Kirane and S. Timoshin",
note = "Funding Information: This project was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, under Grant No. 21/34/GR. The authors, therefore, acknowledge with thanks DSR technical and financial support. The authors would like to thank one of the referees who informed us about the very interesting references [5,10] . Publisher Copyright: {\textcopyright} 2014 Elsevier Inc. All rights reserved.",
year = "2015",
month = apr,
day = "15",
doi = "10.1016/j.amc.2014.06.099",
language = "British English",
volume = "257",
pages = "199--204",
journal = "Applied Mathematics and Computation",
issn = "0096-3003",
publisher = "Elsevier",
}