Salem Abdelmalek, Hichem Louafi, Amar Youkana
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.
| Hichem Louafi |
Faculty of Economics and Management Science
University of Batna, 5000 Algeria
| Amar Youkana |
Department of Mathematics, University of Batna
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