An inverse source problem for distributed order time-fractional diffusion equation

DOI10.1088/1361-6420/ab762czbMath1469.35263OpenAlexW3006067198MaRDI QIDQ5000604

Jijun Liu, Chunlong Sun

Publication date: 14 July 2021

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6420/ab762c

zbMATH Keywords

uniquenessconditional stabilitydiffusion processnumericsdistributed order time-fractional derivative

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Fractional partial differential equations (35R11)

Related Items (9)

Application of the generalized multiscale finite element method in an inverse random source problem ⋮ The well-posedness analysis of distributed order fractional diffusion problems on \(\mathbb{R}^N\) ⋮ The analysis of approximate controllability for distributed order fractional diffusion problems ⋮ Uniqueness and stability for inverse source problem for fractional diffusion-wave equations ⋮ Identifying a space-dependent source term in distributed order time-fractional diffusion equations ⋮ Well-posedness of the stochastic time-fractional diffusion and wave equations and inverse random source problems ⋮ Inverting mechanical and variable-order parameters of the Euler-Bernoulli beam on viscoelastic foundation ⋮ Two regularization methods for identifying the unknown source in a multiterm time-fractional diffusion equation ⋮ Recovering the weight function in distributed order fractional equation from interior measurement

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