On the time fractional heat equation with obstacle

DOI10.1016/j.cam.2022.114470zbMath1495.35179arXiv2012.12023OpenAlexW3116420280WikidataQ113878707 ScholiaQ113878707MaRDI QIDQ2161039

Mirko D'Ovidio, C. Alberini, Stefano Finzi Vita, Raffaela Capitanelli

Publication date: 4 August 2022

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.12023

zbMATH Keywords

finite difference methodsfree boundary problemsfractional derivatives and integralsdegenerate parabolic problems

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Free boundary problems for PDEs (35R35) Fractional partial differential equations (35R11) Unilateral problems for nonlinear parabolic equations and variational inequalities with nonlinear parabolic operators (35K86)

Related Items (1)

The Cauchy problem for time-fractional linear nonlocal diffusion equations

Cites Work

• On the fractional counterpart of the higher-order equations
• Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview
• A numerical study of a degenerate diffusion equation driven by a Heaviside function
• Fractional equations via convergence of forms
• A posteriori error analysis for approximations of time-fractional subdiffusion problems
• Delayed and rushed motions through time change
• On a discrete scheme for time fractional fully nonlinear evolution equations
• Mittag-Leffler Functions, Related Topics and Applications
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