Asymptotic Behavior of Global Solution of an Anomalous Gray Scott Model

Authors

  • Maroua Mebarki Université Amine ElOkal el Hadj Moussa Eg AKhamouk,-Tamanghasset-

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i2.5017

Keywords:

Parabolic system , fractional l Laplacian, global solution, asymptotic behavior

Abstract

The object of this paper is to prove that existence global and asymptotic behavior of solutions for anomalous coupled reaction diffusion system (Gray Scott model) with homogeneous Neumann boundary conditions. The existence and uniqueness of the local solution are given by the Banach fixed point theorem. However, the asymptotic behavior is investiged by technique semi group estimates and the Sobolev embedding theorem  

 

 

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Published

2024-04-30

Issue

Vol. 17 No. 2: (April 2024)

License

Copyright (c) 2024 European Journal of Pure and Applied Mathematics

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How to Cite

Asymptotic Behavior of Global Solution of an Anomalous Gray Scott Model. (2024). European Journal of Pure and Applied Mathematics, 17(2), 1321-1334. https://doi.org/10.29020/nybg.ejpam.v17i2.5017