One Generalization of the Fractional Differential Geoinformation Model of Research of Locally-nonequilibrium Geomigration Processes

Vladimir M. Bulavatskiy

doi:10.1615/JAutomatInfScien.v45.i1.50

Journal of Automation and Information Sciences

Editor en Jefe: Arkadiy A. Chikriy (open in a new tab)

Editor Asociados: Vyacheslav F. Gubarev (open in a new tab) Yuriy P. Kondratenko (open in a new tab) Nonna V. Turovyerova (open in a new tab)

Publicado 12 números por año

ISSN Imprimir: 1064-2315

ISSN En Línea: 2163-9337

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One Generalization of the Fractional Differential Geoinformation Model of Research of Locally-nonequilibrium Geomigration Processes

Volumen 45, Edición 1, 2013, pp. 59-69

DOI: 10.1615/JAutomatInfScien.v45.i1.50

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Vladimir M. Bulavatskiy
V. M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kiev, Ukraine

SINOPSIS

A generalized fractional differential mathematical model of studying the dynamics of the locally-nonequilibrium in time geomigration processes is considered. The nonlinear boundary value problem, corresponding to this model, is formulated, the technique of its numerical solution is developed and the results of numerical experiments are given.

PALABRAS CLAVE: fractional differential geoinformation model, locally-nonequilibrium geomigration process, memory effects, spatial and temporal nonlocality, self-organization, generalization.

CITADO POR

Bulavatsky V. M., Mathematical Modeling of Fractional Differential Filtration Dynamics Based on Models with Hilfer–Prabhakar Derivative, Cybernetics and Systems Analysis, 53, 2, 2017. Crossref
Bohaienko Vsevolod, On the recurrent computation of fractional operator with Mittag-Leffler kernel, Applied Numerical Mathematics, 162, 2021. Crossref
Bulavatsky V. M., Bohaienko V. O., Some Consolidation Dynamics Problems within the Framework of the Biparabolic Mathematical Model and its Fractional-Differential Analog, Cybernetics and Systems Analysis, 56, 5, 2020. Crossref

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