Closed solutions of some boundary-value problems of filtration-consolidation dynamics within the fractured-fractal approach
DOI10.1007/s10559-021-00363-9zbMath1475.35261OpenAlexW3165789300MaRDI QIDQ2044030
Publication date: 4 August 2021
Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10559-021-00363-9
dynamicsmathematical modelingdirect and inverse problemsnonclassical modelsclosed solutionsfiltration-consolidation processesfractured-fractal approachsoil media of fractal structure
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Inhomogeneity in solid mechanics (74E05) Flows in porous media; filtration; seepage (76S05) Inverse problems for PDEs (35R30) Laplace transform (44A10) Fractals (28A80) PDEs in connection with mechanics of deformable solids (35Q74) Integro-partial differential equations (35R09)
Cites Work
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- Fractional differential mathematical models of the dynamics of nonequilibrium geomigration processes and problems with nonlocal boundary conditions
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Numerical simulation of fractional-differential filtration-consolidation dynamics within the framework of models with non-singular kernel
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Time-space fabric underlying anomalous diffusion
- A modified quasi-boundary value method for the backward time-fractional diffusion problem
- Fractional Equations and Models
- Mittag-Leffler Functions, Related Topics and Applications
- An introduction to the mathematical theory of inverse problems
