Salem Abdelmalek, Hichem Louafi, Amar Youkana
Abstract:
This articles shows the existence of global solutions for a
Gierer-Meinhardt model of three substances described by
reaction-diffusion equations with fractional reactions.
Our technique is based on a suitable Lyapunov functional.
Submitted March 22, 2012. Published April 5, 2012.
Math Subject Classifications: 35K57, 92C15.
Key Words: Gierer-Meinhardt system; Lyapunov functional;
activator-inhibitor.
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Salem Abdelmalek Department of Mathematics, College of Arts and Sciences Yanbu Taibah University, Saudi Arabia. email: sallllm@gmail.com |
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| Hichem Louafi Faculty of Economics and Management Science University of Batna, 5000 Algeria email: hichemlouafi@gmail.com | |
| Amar Youkana Department of Mathematics, University of Batna 5000 Algeria email: youkana_amar@yahoo.fr |
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