Central symmetric solution to the Neumann problem for a time-fractional diffusion-wave equation in a sphere

DOI10.1016/J.NONRWA.2011.10.001zbMath1239.76057OpenAlexW2060878141MaRDI QIDQ425965

Yu. Z. Povstenko

Publication date: 10 June 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.10.001

zbMATH Keywords

fractional calculusMittag-Leffler functionsnon-Fourier heat conductionnon-Fickean diffusiondiffusion-wave equation

Mathematics Subject Classification ID

Diffusion (76R50) Fractional partial differential equations (35R11)

Related Items (10)

Time-fractional thermoelasticity problem for a sphere subjected to the heat flux ⋮ A center box method for radially symmetric solution of fractional subdiffusion equation ⋮ Solutions for a fractional diffusion equation with noninteger dimensions ⋮ 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 ⋮ Solving anisotropic subdiffusion problems in annuli and shells ⋮ Fractional Schrödinger equation with noninteger dimensions ⋮ Parameter estimation for the fractional fractal diffusion model based on its numerical solution ⋮ Analytical solutions for coupling fractional partial differential equations with Dirichlet boundary conditions ⋮ Time-fractional heat conduction in an infinite medium with a spherical hole under Robin boundary condition

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