Some Boundary-Value Problems of Filtration Dynamics Corresponding to Models of Fractional Diffusion of Distributed Order

被引：4

作者：

Bulavatsky, V. M. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, VM Glushkov Inst Cybernet, Kiev, Ukraine

来源：

CYBERNETICS AND SYSTEMS ANALYSIS | 2022年 / 58卷 / 01期

关键词：

mathematical modeling; fractional-differential dynamics of filtration processes; geoporous media; non-classical models; model of filtration with distributed-order derivative; boundary-value problem; closed-form solution; EQUATIONS; CALCULUS; TIME;

D O I：

10.1007/s10559-022-00436-3

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

On the basis of fractional diffusion models of distributed order, statements are made and closed-form solutions are obtained for some boundary-value problems of anomalous geofiltration dynamics, in particular, the problem of inflow to a gallery located between two supply lines in a three-layer geoporous medium. For a simplified version of the filtration model of distributed order, solutions are obtained for the direct and inverse boundary-value problems of filtration dynamics, as well as for the filtration problem with nonlocal boundary conditions.

引用

页码：65 / 76

页数：12

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