Global existence and asymptotic behavior for a time fractional reaction-diffusion system

摘要

This paper is concerned with the existence of global in time solutions of a time fractional reaction diffusion system with time fractional derivatives. Furthermore, the large time behavior of bounded solutions is investigated. Our method of proof relies on a maximal regularity result for fractional linear reaction diffusion equations that has been derived by Bajlekova (2001). (C) 2016 Elsevier Ltd. All rights reserved.