Mathematical models with local \(M\)-derivative and boundary-value problems of geomigration dynamics

DOI10.1007/S10559-021-00381-7zbMath1473.35623OpenAlexW3183508934MaRDI QIDQ2044063

V. M. Bulavatskij

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/s10559-021-00381-7

zbMATH Keywords

closed-form solutionsmass exchangenon-classical modelsconvective-diffusion mass transferlocal \(M\)-derivativesteady-state filtration of groundwate

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Fractional partial differential equations (35R11)

Cites Work

• Mathematical modeling of the fractional differential dynamics of the relaxation process of convective diffusion under conditions of planned filtration
• Mathematical modeling of the dynamics of nonequilibrium in time convection-diffusion processes in domains with free boundaries
• A modified quasi-boundary value method for ill-posed problems
• A new regularized method for two dimensional nonhomogeneous backward heat problem
• Mittag-Leffler functions and the truncated \(\mathcal {V}\)-fractional derivative
• A modified quasi-boundary value method for the backward time-fractional diffusion problem
• A new truncated $M$-fractional derivative type unifying some fractional derivative types with classical properties
• Mittag-Leffler Functions, Related Topics and Applications
• An introduction to the mathematical theory of inverse problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Mathematical models with local \(M\)-derivative and boundary-value problems of geomigration dynamics