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Abstract: This paper deals with an Gierer-Meinhardt model, with three substances,formed Reaction-Diffusion system with fractional reaction. To prove globalexistence for solutions of this system presents difficulties at the boundedneesof fractionar term. The purpose of this paper is to prove the existence of aglobal solution using a boundary functionel. Our technique is based on theconstruction of Lyapunov functionel.



Author: Abdelmalek Salem, Louafi Hichem, Youkana Amar

Source: https://arxiv.org/







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