Boundary-value problems for space-time fractional differential filtration dynamics in fractured-porous media

DOI10.1007/S10559-022-00468-9OpenAlexW4294307509WikidataQ113904052 ScholiaQ113904052MaRDI QIDQ2103738

V. M. Bulavatskij, Vsevolod Bohaienko

Publication date: 9 December 2022

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-022-00468-9

zbMATH Keywords

closed-form solutionsmathematical modelingnumerical solutionsRiemann-Liouville derivativesCaputo derivativesfractured-porous mediafractional-differential dynamics of filtration processesnon-classical modelsHilfer derivatives

Mathematics Subject Classification ID

Solutions to PDEs in closed form (35C05) Second-order parabolic systems (35K40) Fractional partial differential equations (35R11)

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Cites Work

• Eigenvalue asymptotics for a fractional boundary-value problem
• Mathematical modeling of the dynamics of nonequilibrium in time convection-diffusion processes in domains with free boundaries
• Mathematical modeling of fractional differential filtration dynamics based on models with Hilfer-Prabhakar derivative
• Finite difference/spectral approximations for the time-fractional diffusion equation
• Boundary-value problems for differential equations of fractional order
• Distributed order calculus and equations of ultraslow diffusion
• A second-order accurate numerical approximation for the fractional diffusion equation
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• Fractional Equations and Models
• Mittag-Leffler Functions, Related Topics and Applications
• Fractional Calculus with Applications in Mechanics
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