A distributed‐order fractional diffusion equation with a singular density function: Analysis and approximation
DOI10.1002/mma.9087OpenAlexW4318570426MaRDI QIDQ6139343
Publication date: 18 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.9087
finite element methoderror estimatewell-posedness and regularityultraslow diffusiondistributed-order
Smoothness and regularity of solutions to PDEs (35B65) Non-Newtonian fluids (76A05) Flows in porous media; filtration; seepage (76S05) Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Rate of convergence, degree of approximation (41A25) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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