Large-time behavior for a fully nonlocal heat equation

DOI10.1007/S10013-020-00452-WzbMath1471.35044arXiv2005.09651OpenAlexW3100667679MaRDI QIDQ2046199

Fernando Quirós, Noemí I. Wolanski, Carmen Cortázar

Publication date: 17 August 2021

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.09651

zbMATH Keywords

asymptotic behaviorCaputo derivativefractional Laplacianfully nonlocal heat equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (45K05) Initial value problems for second-order parabolic equations (35K15) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

Related Items (2)

Decay/growth rates for inhomogeneous heat equations with memory. The case of large dimensions ⋮ A heat equation with memory: large-time behavior

Cites Work

• A parabolic problem with a fractional time derivative
• Decay estimates for time-fractional and other non-local in time subdiffusion equations in \(\mathbb R^d\)
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• Representation of solutions and large-time behavior for fully nonlocal diffusion equations
• Volterra integro-differential equations with accretive nonlinearity
• Chaos, fractional kinetics, and anomalous transport
• Time-fractional diffusion equation in the fractional Sobolev spaces
• ASYMPTOTIC BEHAVIORS OF FUNDAMENTAL SOLUTION AND ITS DERIVATIVES TO FRACTIONAL DIFFUSION-WAVE EQUATIONS
• Asymptotic behavior of solutions to space-time fractional diffusion-reaction equations
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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