Modelling the movement of groundwater pollution with variable order derivative

DOI10.22436/jnsa.010.10.26zbMath1412.34031OpenAlexW2765355247MaRDI QIDQ5743210

S. N. Kameni, Abdon Atangana, Jean-Daniel Djida

Publication date: 9 May 2019

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.10.26

zbMATH Keywords

stabilityconvergencefinite difference schemeadvection-dispersion equation with variable ordernew variable order derivative

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional ordinary differential equations (34A08) Integral transforms, operational calculus (44Axx)

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A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications

Cites Work

• Analytical solutions of the space-time fractional derivative of advection dispersion equation
• Finite difference approximations for fractional advection-dispersion flow equations
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