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A triangular nonlinear reaction-fractional diffusion system with a balance law
Journal article   Peer reviewed

A triangular nonlinear reaction-fractional diffusion system with a balance law

Ahmed Alsaedi, Maryam Al-Yami, Mokhtar Kirane and Faten Momenkhan
Mathematical methods in the applied sciences, Vol.41(5), pp.1825-1830
30/03/2018
DOI: https://doi.org/10.1002/mma.4709

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
The aim of this paper is to establish a global existence result for a nonlinear reaction diffusion system with fractional Laplacians of different orders and a balance law. Our method of proof is based on a duality argument and a recent maximal regularity result due to Zhang.

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