On nonlinear nonlocal systems of reaction diffusion equations

B. Ahmad, M. S. Alhothuali, H. H. Alsulami, M. Kirane, S. Timoshin

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

The reaction diffusion system with anomalous diffusion and a balance law u t+ (-Δ)α/2 u = - f (u, v), vt + (-Δ)β/2 v = f (u, v), 0 < α, β < 2, is con sidered. The existence of global solutions is proved in two situations: (i) a polynomial growth condition is imposed on the reaction term f when 0 < α ≤ β ≤ 2; (ii) no growth condition is imposed on the reaction term f when 0 < β ≤ α ≤ 2.

Original languageBritish English
Article number804784
JournalAbstract and Applied Analysis
Volume2014
DOIs
StatePublished - 2014

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