Existence and uniqueness of the solution for a time-fractional diffusion equation with Robin boundary condition

DOI10.1155/2011/321903zbMath1218.35245OpenAlexW2035708171WikidataQ58654130 ScholiaQ58654130MaRDI QIDQ535954

Jukka T. Kemppainen

Publication date: 16 May 2011

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/225899

zbMATH Keywords

Volterra integral equationRobin boundary conditiontime-fractional diffusion equationgreen matrix

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Weak solutions to PDEs (35D30) Volterra integral equations (45D05) Fractional partial differential equations (35R11)

Related Items (14)

A numerical scheme for the time-fractional diffusion equation by layer potentials ⋮ Trace formulae for the heat-volume potential of the time-fractional heat equation ⋮ About the convergence of a family of initial boundary value problems for a fractional diffusion equation of Robin type ⋮ Numerical solution of fractional diffusion equation over a long time domain ⋮ A collocation method for fractional diffusion equation in a long time with Chebyshev functions ⋮ Normalized Bernstein polynomials in solving space-time fractional diffusion equation ⋮ Axisymmetric solutions to time-fractional heat conduction equation in a half-space under Robin boundary conditions ⋮ Fundamental solutions to the fractional heat conduction equation in a ball under Robin boundary condition ⋮ Time-fractional diffusion equation with dynamical boundary condition ⋮ Mathematical analysis of a Cauchy problem for the time-fractional diffusion-wave equation with \( \alpha \in (0,2) \) ⋮ Existence and uniqueness of the solution for a time-fractional diffusion equation with Robin boundary condition ⋮ Well-posedness for weak and strong solutions of non-homogeneous initial boundary value problems for fractional diffusion equations ⋮ Existence and uniqueness of the solution for a time-fractional diffusion equation ⋮ Time-fractional heat conduction in an infinite medium with a spherical hole under Robin boundary condition

Cites Work

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• Existence and uniqueness of the solution for a time-fractional diffusion equation with Robin boundary condition
• Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation
• Linear integral equations.
• Cauchy problem for fractional diffusion equations
• Boundary integral solution of the time-fractional diffusion equation
• Properties of the single layer potential for the time fractional diffusion equation
• Maximum principle for the generalized time-fractional diffusion equation
• Fractional diffusion and wave equations
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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