Necessary conditions for local and global existence to a reaction-diffusion system with fractional derivatives

DOI10.1155/IJMMS/2006/85203zbMath1214.35033OpenAlexW2019844687MaRDI QIDQ2644153

Mourad Sfaxi, Kamel Haouam

Publication date: 7 September 2007

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45119

zbMATH Keywords

reaction-diffusion equationsfractional derivatives and integralstemporal and spacial fractional derivatives

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Fractional derivatives and integrals (26A33) Initial value problems for PDEs with pseudodifferential operators (35S10)

Cites Work

• Local and global solvability of a class of semilinear parabolic equations
• Boundedness and blow up for a semilinear reaction-diffusion system
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Critical exponents of Fujita type for certain evolution equations and systems with spatio-temporal fractional derivatives
• A Fujita‐type global existence—global non‐existence theorem for a system of reaction diffusion equations with differing diffusivities
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