Global existence and blow-up for a space and time nonlocal reaction-diffusion equation

DOI10.2989/16073606.2020.1745923zbMath1473.35618arXiv1901.06632OpenAlexW3043341092MaRDI QIDQ4958926

Berikbol T. Torebek, Mukhtar Bin Muhammad Kirane, Ahmed Alsaedi

Publication date: 15 September 2021

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.06632

zbMATH Keywords

blow-upglobal existencereaction-diffusion equationCaputo derivativefractional Laplacian

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Fractional derivatives and integrals (26A33) Maximum principles in context of PDEs (35B50) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)

Related Items (5)

Qualitative properties of solutions to a nonlinear time-space fractional diffusion equation ⋮ Fisher–KPP equation on the Heisenberg group ⋮ On Fisher's equation with the fractionalp‐Laplacian ⋮ Nonconforming virtual element method for the time fractional reaction-subdiffusion equation with non-smooth data ⋮ Global existence and blow-up of solutions of the time-fractional space-involution reaction-diffusion equation

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