Some two-dimensional boundary-value problems of filtration dynamics for models with proportional Caputo derivative

DOI10.1007/S10559-022-00499-2OpenAlexW4306836662MaRDI QIDQ2103798

V. M. Bulavatskij

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/s10559-022-00499-2

zbMATH Keywords

closed-form solutionsmathematical modelingRiemann-Liouville derivativefractured-porous mediafractional-differential dynamics of filtration processesnon-classical modelsproblems with nonlocal conditionsproportional Caputo derivative

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Solutions to PDEs in closed form (35C05) Second-order parabolic systems (35K40) Fractional partial differential equations (35R11)

Cites Work

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• 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
• The two-dimensional heat equation with nonlocal boundary conditions

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