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Global existence and large time behavior of solutions of a time fractional reaction diffusion system
Journal article   Peer reviewed

Global existence and large time behavior of solutions of a time fractional reaction diffusion system

Ahmed Alsaedi, Bashir Ahmad, Mokhtar Kirane and Rafika Lassoued
Fractional calculus & applied analysis, Vol.23(2), pp.390-407
01/04/2020
DOI: https://doi.org/10.1515/fca-2020-0019

Abstract

26A33 Caputo derivative fractional calculus large time behavior local and global existence Primary 35B01 reaction-diffusion system Secondary 35B40
In this paper, it is proved that a time fractional reaction diffusion system with reaction terms of the Brusselator type admits a global solution by using the feedback method of F. Rothe [ ]. Furthermore, some results on the large time behavior of the solutions are obtained. We give a positive answer to Problem 6 of the valuable paper of Gal and Warma [ ].

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