Application of tempered-stable time fractional-derivative model to upscale subdiffusion for pollutant transport in field-scale discrete fracture networks

DOI10.3390/math6010005zbMath1404.76282OpenAlexW2781936336MaRDI QIDQ1657242

Yong Zhang, Bingqing Lu, Donald M. Reeves, Chunmiao Zheng, Hong-Guang Sun

Publication date: 13 August 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6010005

zbMATH Keywords

anomalous transportfractional advection-dispersion equationsdiscrete fracture networks (DFNs)fractional partial differential equations (PDEs)

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Multiphase and multicomponent flows (76T99) Fractional partial differential equations (35R11)

Related Items (3)

Editorial. Fractional calculus: theory and applications ⋮ MITTAG-LEFFLER STABILITY ANALYSIS OF TEMPERED FRACTIONAL NEURAL NETWORKS WITH SHORT MEMORY AND VARIABLE-ORDER ⋮ Theories of tempered fractional calculus applied to tempered fractional Langevin and Vasicek equations

Uses Software

• HydroGeoSphere

Cites Work

• Unnamed Item
• A review of applications of fractional calculus in Earth system dynamics
• Simulation of hydraulic heterogeneity and upscaling permeability and dispersivity in Sandy-Clay formations
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

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