Boundary-value problems for loaded pseudoparabolic equations of fractional order and difference methods of their solving

DOI10.3103/S1066369X19020014zbMath1429.35196OpenAlexW2949208478MaRDI QIDQ2287040

Murat Kh. Beshtokov

Publication date: 23 January 2020

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x19020014

zbMATH Keywords

a priori estimateboundary-value problemsloaded equationsdifferential equation of fractional orderequation of pseudoparabolic typeGerasimov-Kaputo fractional derivative

Mathematics Subject Classification ID

Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Fractional partial differential equations (35R11)

Related Items (14)

On time fractional pseudo-parabolic equations with nonlocal integral conditions ⋮ A numerical method for solving the second initial-boundary value problem for a multidimensional third-order pseudoparabolic equation ⋮ Well-posedness and ill-posedness results for backward problem for fractional pseudo-parabolic equation ⋮ Stochastic pseudo-parabolic equations with fractional derivative and fractional Brownian motion ⋮ Unnamed Item ⋮ On a terminal value problem for pseudoparabolic equations involving Riemann-Liouville fractional derivatives ⋮ The Crank-Nicolson type compact difference schemes for a loaded time-fractional Hallaire equation ⋮ Stability of a class of problems for time-space fractional pseudo-parabolic equation with datum measured at terminal time ⋮ A numerical method for solving the third boundary value problem for the convection-diffusion equation with a fractional time derivative in a multidimensional domain ⋮ Unnamed Item ⋮ The total approximation method for the Dirichlet problem for multidimensional Sobolev-type equations ⋮ Solvability of pseudoparabolic equation with Caputo fractional derivative ⋮ On a nonlocal boundary value problem for a third-order pseudo-parabolic equation ⋮ Existence and regularity results for stochastic fractional pseudo-parabolic equations driven by white noise

Cites Work

• A new difference scheme for the time fractional diffusion equation
• A priori estimates for solutions of boundary value problems for fractional-order equations
• To boundary-value problems for degenerating pseudoparabolic equations with Gerasimov-Caputo fractional derivative
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