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Zbl 1072.35218
Huang, F.; Liu, F.
The time fractional diffusion equation and the advection-dispersion equation. (English)
[J] ANZIAM J. 46, No. 3, 317-330 (2005). ISSN 1446-1811

Authors' abstract: ``The authors obtain explicit relationships between the time fractional diffusion equation and the advection-dispersion equation in the whole-space with the corresponding problems in the half-space using the Fourier-Laplace transform. Furthermore, they investigate the time fractional advection-dispersion equation in a bounded space domain.''
[Samir B. Hadid (Ajman)]
MSC 2000:
*35S30 Fourier integral operators
26A33 Fractional derivatives and integrals (real functions)
76R50 Diffusion
35A22 Transform methods (PDE)

Keywords: fractional derivatives and integrals; Fouriers integral operators; diffusion; Fourier-Laplace transform

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