Global Solutions for an m -Component System of Activator-Inhibitor Type

S. Abdelmalek; A. Gouadria; A. Youkana

doi:10.1155/2013/939405

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Home > Journals > Abstr. Appl. Anal. > Volume 2013 > Article

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

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Abstract

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. https://doi.org/10.1155/2013/939405