Unique determination of fractional order and source term in a fractional diffusion equation from sparse boundary data
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Publication:5132272
DOI10.1088/1361-6420/abbc5dzbMath1452.35259arXiv2003.10927OpenAlexW3091294542MaRDI QIDQ5132272
Publication date: 10 November 2020
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.10927
Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (10)
Theoretical and numerical studies of inverse source problem for the linear parabolic equation with sparse boundary measurements ⋮ Uniqueness of orders and parameters in multi-term time-fractional diffusion equations by short-time behavior ⋮ Recovery of the Order of Derivation for Fractional Diffusion Equations in an Unknown Medium ⋮ DETERMINATION OF FRACTIONAL ORDER AND SOURCE TERM IN SUBDIFFUSION EQUATIONS ⋮ Simultaneous inversion for a fractional order and a time source term in a time-fractional diffusion-wave equation ⋮ Well-posedness of the stochastic time-fractional diffusion and wave equations and inverse random source problems ⋮ A nonstationary iterated quasi-boundary value method for reconstructing the source term in a time-space fractional diffusion equation ⋮ The enclosure method for the detection of variable order in fractional diffusion equations ⋮ Reconstruction of a Space-Time-Dependent Source in Subdiffusion Models via a Perturbation Approach ⋮ Simultaneous inversion of a fractional order and a space source term in an anomalous diffusion model
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