Control and numerical approximation of fractional diffusion equations

zbMath1496.65155arXiv2105.13671MaRDI QIDQ5097099

Mahamadi Warma, Umberto Biccari, Enrique Zuazua

Publication date: 19 August 2022

Full work available at URL: https://arxiv.org/abs/2105.13671

zbMATH Keywords

finite element methodnumerical approximationfractional Laplacianfractional diffusion equationinterior controlsimultaneous controlexterior control

Mathematics Subject Classification ID

Numerical methods involving duality (49M29) Controllability (93B05) Stochastic programming (90C15) Pseudodifferential operators as generalizations of partial differential operators (35S05) Fractional derivatives and integrals (26A33) Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Discrete approximations in optimal control (49M25) Fractional partial differential equations (35R11) PDE constrained optimization (numerical aspects) (49M41)

Related Items (3)

Multiplicity of solutions for fractional \(q(\cdot)\)-Laplacian equations ⋮ A class of fractional parabolic reaction-diffusion systems with control of total mass: theory and numerics ⋮ Controllability of a simplified time-discrete stabilized Kuramoto-Sivashinsky system

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