Mathematical modeling of the dynamics of a nonequilibrium diffusion process on the basis of integro-differentiation of fractional order

DOI10.1007/s10559-015-9705-1zbMath1327.93040OpenAlexW2069699268MaRDI QIDQ895098

A. V. Gladkii, V. M. Bulavatskij

Publication date: 26 November 2015

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-015-9705-1

zbMATH Keywords

analytical solutionboundary-value problemnumerical solutionfractional-order equationHilfer biordinal fractional derivativenonequilibrium diffusion processsaturated geoporous medium

Mathematics Subject Classification ID

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

Related Items (1)

An inverse problem for anomalous diffusion equation with bi-ordinal Hilfer's derivative

Cites Work

• Nonclassical mathematical model in geoinformatics to solve dynamic problems for nonequilibrium nonisothermal seepage fields
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Mathematical modeling in the geoinformation problem of the dynamics of geomigration under space-time nonlocality
• Stability theory of difference schemes and iterative methods
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