Existence and uniqueness of the solution for a time-fractional diffusion equation

DOI10.2478/s13540-011-0025-5zbMath1273.45004OpenAlexW2038526263MaRDI QIDQ2853357

Jukka T. Kemppainen

Publication date: 21 October 2013

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

Full work available at URL: https://doi.org/10.2478/s13540-011-0025-5

zbMATH Keywords

Fox's \(H\)-functionfractional diffusion boundary potentials

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Potentials and capacities on other spaces (31C15) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (17)

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Cites Work

• 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
• Boundary behavior of the layer potentials for the time fractional diffusion equation in Lipschitz domains
• Maximum principle for the generalized time-fractional diffusion equation
• Fractional diffusion and wave equations
• Boundary Integral Solution of the Time-Fractional Diffusion Equation
• The random walk's guide to anomalous diffusion: A fractional dynamics approach
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