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自动化与信息科学期刊
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN 打印: 1064-2315
ISSN 在线: 2163-9337

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自动化与信息科学期刊

DOI: 10.1615/JAutomatInfScien.v48.i5.30
pages 27-41

Some Modeling Problems of Fractional-Differential Geofiltrational Dynamics within the Framework of Generalized Mathematical Models

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

ABSTRACT

The generalized mathematical models depicting fractional-differential dynamics of filtration processes in complex geoporous structures under nonequilibrium conditions are introduced. The construction of corresponding fractional-differential mathematical models is based on generalization of Darcy filtration law using the concept of biordinal fractional Hilfer derivative on time variable that allows one to reach a large degree of generality of models studied. Within the framework of considered nonclassical mathematical models some nonstationary boundary value problems of the theory of nonequilibrium geofiltration are formulated and their analytical solutions are obtained.


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