An anomalous non-self-similar infiltration and fractional diffusion equation
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Publication:989370
DOI10.1016/j.physd.2010.04.005zbMath1193.76142OpenAlexW2087785876MaRDI QIDQ989370
V. A. Kondratieva, Dmitry N. Gerasimov, Oleg A. Sinkevich
Publication date: 19 August 2010
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2010.04.005
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Flows in porous media; filtration; seepage (76S05) Fractional derivatives and integrals (26A33)
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Cites Work
- Unnamed Item
- Solution for a fractional diffusion-wave equation defined in a bounded domain
- Fractional diffusion equation on fractals: one-dimensional case and asymptotic behaviour
- Fractional diffusion equation on fractals: three-dimensional case and scattering function
- REVISITING THE DERIVATION OF THE FRACTIONAL DIFFUSION EQUATION
- Continuous-time random walks and the fractional diffusion equation
