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Journal of Automation and Information Sciences
SJR: 0.232 SNIP: 0.464 CiteScore™: 0.27

ISSN Print: 1064-2315
ISSN Online: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v46.i10.10
pages 1-10

Mathematical Modeling of Consolidation Dynamics on the Basis of Fractional-Differential Approach

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

ABSTRACT

For description of abnormal dynamics of consolidation process in deformed partially saturated geoporous medium the new (fractional-difference) mathematical models are introduced. According to cases of saturation of geoporous medium with pure water or salt solution analytical solutions were obtained within the framework of these mathematical models of one-dimensional nonstationary boundary-value problems of fractional-differential dynamics of consolidation process in finite by geometrical variation domain.


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