Laminar flow through fractal porous materials: the fractional-order transport equation

DOI10.1016/J.CNSNS.2014.10.005zbMath1329.76323OpenAlexW2037306545MaRDI QIDQ907655

Gianluca Alaimo, Massimiliano Zingales

Publication date: 26 January 2016

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10447/215529

zbMATH Keywords

fractional calculustransport equationsfractals

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05)

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Cites Work

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• Flow of fractal fluid in pipes: non-integer dimensional space approach
• A discrete mechanical model of fractional hereditary materials
• Wave propagation in nonlocal elastic continua modelled by a fractional calculus approach
• Fractional integral and its physical interpretation
• Invertible structured deformations and the geometry of multiple slip in single crystals
• Calculation of the tensile and flexural strength of disordered materials using fractional calculus
• Fractional integral associated to the self-similar set or the generalized self-similar set and its physical interpretation
• The derivation of the generalized functional equations describing self-similar processes
• Continuous medium model for fractal media
• A mechanical picture of fractional-order Darcy equation
• Modeling the Cardiac Tissue Electrode Interface Using Fractional Calculus
• Local Fractional Fokker-Planck Equation
• Submacroscopically Stable Equilibria of Elastic Bodies Undergoing Disarrangements and Dissipation
• A fractional calculus approach to the description of stress and strain localization in fractal media
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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