A time-space Hausdorff derivative model for anomalous transport in porous media
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Publication:2173491
DOI10.1515/fca-2019-0079zbMath1434.76127arXiv1808.00134OpenAlexW2999961698WikidataQ126334969 ScholiaQ126334969MaRDI QIDQ2173491
Yingjie Liang, Wen Chen, Ninghu Su
Publication date: 23 April 2020
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.00134
porous mediapartial differential equationsolute transportHausdorff derivativetime-space dependent dispersion
Reaction-diffusion equations (35K57) Flows in porous media; filtration; seepage (76S05) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Fractals (28A80)
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Cites Work
- Unnamed Item
- Unnamed Item
- What is a fractional derivative?
- A tutorial review on fractal spacetime and fractional calculus
- Anomalous diffusion modeling by fractal and fractional derivatives
- Towards a physics on fractals: differential vector calculus in three-dimensional continuum with fractal metric
- Analyzing signal attenuation in PFG anomalous diffusion via a modified Gaussian phase distribution approximation based on fractal derivative model
- Non-Euclidean distance fundamental solution of Hausdorff derivative partial differential equations
- A non-local structural derivative model for characterization of ultraslow diffusion in dense colloids
- A novel compact numerical method for solving the two-dimensional non-linear fractional reaction-subdiffusion equation
- Structural derivative based on inverse Mittag-Leffler function for modeling ultraslow diffusion
- Time-space fabric underlying anomalous diffusion
- Similarity solutions for solute transport in fractal porous media using a time- and scale-dependent dispersivity
- Fractal solids, product measures and fractional wave equations
- FROM FRACTAL TO A GENERALIZED FRACTAL: NON-POWER-FUNCTION STRUCTAL METRIC
- A Novel High Order Space-Time Spectral Method for the Time Fractional Fokker--Planck Equation
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
