Fractional differential mathematical models of the dynamics of nonequilibrium geomigration processes and problems with nonlocal boundary conditions

DOI10.1007/S10559-014-9594-8zbMath1301.35183OpenAlexW2018439558MaRDI QIDQ466012

V. M. Bulavatskij

Publication date: 24 October 2014

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

Full work available at URL: https://doi.org/10.1007/s10559-014-9594-8

zbMATH Keywords

nonlocal boundary conditionsmathematical modelingboundary-value problemssystems of fractional differential equationsCaputo and Hilfer derivativesfractional differential mathematical modelsgeomigration processes locally nonequilibrium in time

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Transport processes in time-dependent statistical mechanics (82C70) Fractional partial differential equations (35R11) PDEs in connection with statistical mechanics (35Q82)

Related Items (3)

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Cites Work

• Nonclassical mathematical model in geoinformatics to solve dynamic problems for nonequilibrium nonisothermal seepage fields
• On a family of initial-boundary value problems for the heat equation
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• Mathematical modeling in the geoinformation problem of the dynamics of geomigration under space-time nonlocality
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• A fractional Poisson process in a model of dispersive charge transport in semiconductors
• The fractional Fick's law for non-local transport processes
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