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2013 Global Solutions for an m -Component System of Activator-Inhibitor Type
S. Abdelmalek, A. Gouadria, A. Youkana
Abstr. Appl. Anal. 2013: 1-9 (2013). DOI: 10.1155/2013/939405


This paper deals with a reaction-diffusion system with fractional reactions modeling m -substances into interaction following activator-inhibitor's scheme. The existence of global solutions is obtained via a judicious Lyapunov functional that generalizes the one introduced by Masuda and Takahashi.


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S. Abdelmalek. A. Gouadria. A. Youkana. "Global Solutions for an m -Component System of Activator-Inhibitor Type." Abstr. Appl. Anal. 2013 1 - 9, 2013.


Published: 2013
First available in Project Euclid: 27 February 2014

zbMATH: 07095516
MathSciNet: MR3096822
Digital Object Identifier: 10.1155/2013/939405

Rights: Copyright © 2013 Hindawi

Vol.2013 • 2013
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