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

Ahmed Alsaedi, Mokhtar Kirane and Rafika Lassoued
Computers & mathematics with applications (1987), Vol.73(6), pp.951-958
15/03/2017

Abstract

Asymptotic behavior Balance law Fractional calculus Global existence Reaction–diffusion equations
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).

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