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ISSN Печать: 1064-2315
ISSN Онлайн: 2163-9337
Indexed in
Some Modeling Problems of Fractional-Differential Geofiltrational Dynamics within the Framework of Generalized Mathematical Models
Краткое описание
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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Bulavatsky V. M., Solutions of Some Problems of Fractional-Differential Filtration Dynamics Based on Models with ABC-Fractional Derivative, Cybernetics and Systems Analysis, 53, 5, 2017. Crossref
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Bohaienko Vsevolod, Bulavatsky Volodymyr, Fractional-Fractal Modeling of Filtration-Consolidation Processes in Saline Saturated Soils, Fractal and Fractional, 4, 4, 2020. Crossref
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Bohaienko Vsevolod, Selection of ψ-Caputo derivatives’ functional parameters in generalized water transport equation by genetic programming technique, Results in Control and Optimization, 5, 2021. Crossref
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Bulavatsky V. M., Closed Solutions of Some Boundary-Value Problems of Filtration-Consolidation Dynamics within the Fractured-Fractal Approach, Cybernetics and Systems Analysis, 57, 3, 2021. Crossref