Numerical analysis of initial-boundary value problem for a Sobolev-type equation with a fractional-order time derivative

DOI10.1134/S0965542519020052zbMath1447.35347OpenAlexW2946732541WikidataQ127938438 ScholiaQ127938438MaRDI QIDQ2313428

Murat Kh. Beshtokov

Publication date: 19 July 2019

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542519020052

zbMATH Keywords

equations with memoryGerasimov-Caputo fractional derivative

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) A priori estimates in context of PDEs (35B45) Theoretical approximation in context of PDEs (35A35) Fractional partial differential equations (35R11)

Related Items (5)

On the critical behavior for a Sobolev-type inequality with Hardy potential ⋮ Local one-dimensional scheme for the first initial-boundary value problem for the multidimensional fractional-order convection-diffusion equation ⋮ Unnamed Item ⋮ Numerical analysis of time-fractional Sobolev equation for fluid-driven processes in impermeable rocks ⋮ The total approximation method for the Dirichlet problem for multidimensional Sobolev-type equations

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
• Local and nonlocal boundary value problems for degenerating and nondegenerating pseudoparabolic equations with a Riemann-Liouville fractional derivative
• On a theory of heat conduction involving two temperature
• Parabolic and pseudo-parabolic partial differential equations
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• The sobolev equation, i
• Difference methods for solving boundary value problems for fractional differential equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Numerical analysis of initial-boundary value problem for a Sobolev-type equation with a fractional-order time derivative