Analytical solutions of conformable advection-diffusion equation for contaminant migration with isothermal adsorption

DOI10.1016/j.aml.2020.106330zbMath1439.35282OpenAlexW3011803308MaRDI QIDQ1985420

Shuai Yang, Yuan Cao, Hongwei Zhou, Lin Ou, Xiang Chen

Publication date: 7 April 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106330

zbMATH Keywords

advection-diffusionconformable derivativecontaminant migrationisothermal adsorption

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Fractional partial differential equations (35R11)

Related Items (3)

CONFORMABLE DERIVATIVES IN VISCOUS FLOW DESCRIBING FLUID THROUGH POROUS MEDIUM WITH VARIABLE PERMEABILITY ⋮ Reliable methods to look for analytical and numerical solutions of a nonlinear differential equation arising in heat transfer with the conformable derivative ⋮ Existence of solutions for fractional evolution equations with infinite delay and almost sectorial operator

Cites Work

• On conformable fractional calculus
• Fractional Newton mechanics with conformable fractional derivative
• Analytical solutions of advective-dispersive transport in porous media involving conformable derivative
• Conformable derivative: application to non-Darcian flow in low-permeability porous media
• Conformable derivative approach to anomalous diffusion
• A time fractional convection-diffusion equation to model gas transport through heterogeneous soil and gas reservoirs
• Dynamical behaviour of fractional order tumor model with Caputo and conformable fractional derivative
• A new definition of fractional derivative
• Modeling non-Darcian flow and solute transport in porous media with the Caputo-Fabrizio derivative
• Dynamic cobweb models with conformable fractional derivatives
• Modeling groundwater flow and contaminant transport

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