Weak solutions to non-homogeneous boundary value problems for time-fractional diffusion equations

DOI10.1016/J.JMAA.2017.11.048zbMath1470.35417OpenAlexW2772195586MaRDI QIDQ1688842

Masahiro Yamamoto

Publication date: 11 January 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.11.048

zbMATH Keywords

optimal controlweak solutiontime-fractional diffusion equationnon-homogeneous boundary value problem

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Fractional partial differential equations (35R11)

Related Items (21)

Weakness and Mittag-Leffler stability of solutions for time-fractional Keller-Segel models ⋮ A numerical scheme for the time-fractional diffusion equation by layer potentials ⋮ On Geometric Inverse Problems in Time-Fractional Subdiffusion ⋮ On maximal regularity for the Cauchy-Dirichlet parabolic problem with fractional time derivative ⋮ Two unconditionally stable difference schemes for time distributed-order differential equation based on Caputo-Fabrizio fractional derivative ⋮ A unified Petrov-Galerkin spectral method and fast solver for distributed-order partial differential equations ⋮ Simultaneous uniqueness for multiple parameters identification in a fractional diffusion-wave equation ⋮ Uniqueness for an inverse coefficient problem for a one-dimensional time-fractional diffusion equation with non-zero boundary conditions ⋮ Reconstruction of pointwise sources in a time-fractional diffusion equation ⋮ Comparison principles for the time-fractional diffusion equations with the Robin boundary conditions. I: Linear equations ⋮ Reconstruction and stability analysis of potential appearing in time‐fractional subdiffusion ⋮ Uniqueness of the potential in a time-fractional diffusion equation ⋮ Equivalence of definitions of solutions for some class of fractional diffusion equations ⋮ Modified homotopy perturbation approach for the system of fractional partial differential equations: A utility of fractional Wronskian ⋮ Existence and uniqueness of mild solutions for a final value problem for nonlinear fractional diffusion systems ⋮ Numerical methods for time-fractional evolution equations with nonsmooth data: a concise overview ⋮ Well-posedness for weak and strong solutions of non-homogeneous initial boundary value problems for fractional diffusion equations ⋮ Reconstruction of the space-dependent source from partial Neumann data for slow diffusion system ⋮ Blow-up solutions of a time-fractional diffusion equation with variable exponents ⋮ Convergence analysis of a Petrov-Galerkin method for fractional wave problems with nonsmooth data ⋮ Initial-boundary value problems for multi-term time-fractional wave equations

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