Modeling non-Darcian flow and solute transport in porous media with the Caputo-Fabrizio derivative

DOI10.1016/j.apm.2018.09.042zbMath1481.76234OpenAlexW2901924795WikidataQ128914131 ScholiaQ128914131MaRDI QIDQ2307286

Yanyan Li

Publication date: 27 March 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2018.09.042

zbMATH Keywords

Caputo-Fabrizio fractional derivativediffusive transportnon-Darcian flowSwartzendruber model

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Fractional partial differential equations (35R11)

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Cites Work

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• Analysis of the Keller-Segel model with a fractional derivative without singular kernel
• Impulsive boundary value problem for a fractional differential equation
• Fractional dynamics in DNA
• Modeling diffusive transport with a fractional derivative without singular kernel
• Fractional derivatives in the transport of drugs across biological materials and human skin
• Fractional Liénard type model of a pipeline within the fractional derivative without singular kernel
• Flow and heat transfer of a generalized Maxwell fluid with modified fractional Fourier's law and Darcy's law
• Conformable derivative approach to anomalous diffusion
• Fractional order description of DNA
• A fractional perspective on the trajectory control of redundant and hyper-redundant robot manipulators
• A variable-order time-fractional derivative model for chloride ions sub-diffusion in concrete structures
• Electromagnetic fields and waves in fractional dimensional space
• A mechanical picture of fractional-order Darcy equation
• And I say to myself: “What a fractional world!”
• Numerical simulation for the 3D seepage flow with fractional derivatives in porous media
• New Trends in Nanotechnology and Fractional Calculus Applications
• Fractional Calculus with Applications for Nuclear Reactor Dynamics
• Mittag-Leffler Functions, Related Topics and Applications

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