Critical parameters for reaction-diffusion equations involving space-time fractional derivatives

DOI10.1007/S00030-020-00629-9zbMath1442.35207arXiv1809.07226OpenAlexW3022714895MaRDI QIDQ2179113

Erkan Nane, Jebessa B. Mijena, Mohammud Foondun, Sunday A. Asogwa

Publication date: 12 May 2020

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.07226

zbMATH Keywords

critical exponentsDirichlet boundary conditionCaputo derivativeFujita type blow-up conditionsspace-time fractional partial differential equations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Critical exponents in context of PDEs (35B33) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)

Related Items (6)

Stochastic pseudo-parabolic equations with fractional derivative and fractional Brownian motion ⋮ On the blow-up of solutions for a fractional diffusion equation with nonlinear memory and reaction terms in a bounded domain ⋮ Blow-up results for space-time fractional stochastic partial differential equations ⋮ Remarks on a fractional-time stochastic equation ⋮ Global solutions of nonlinear fractional diffusion equations with time-singular sources and perturbed orders ⋮ Existence and regularity results for stochastic fractional pseudo-parabolic equations driven by white noise

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