Well-posedness for the backward problems in time for general time-fractional diffusion equation

DOI10.4171/RLM/906zbMath1460.35374arXiv2001.09444OpenAlexW3094162278MaRDI QIDQ2658506

Masahiro Yamamoto, Giuseppe Floridia, Zhi-yuan Li

Publication date: 23 March 2021

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.09444

zbMATH Keywords

zero Dirichlet boundary conditionCaputo time-derivative

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Fractional partial differential equations (35R11)

Related Items (11)

On the backward problems in time for time-fractional subdiffusion equations ⋮ Nonnegative multiplicative controllability for semilinear multidimensional reaction-diffusion equations ⋮ On the uniqueness of solutions of two inverse problems for the subdiffusion equation ⋮ A non-stationary iterative Tikhonov regularization method for simultaneous inversion in a time-fractional diffusion equation ⋮ Simultaneous inversion of the space-dependent source term and the initial value in a time-fractional diffusion equation ⋮ Solution of the backward problem for the space-time fractional diffusion equation related to the release history of a groundwater contaminant ⋮ The backward problem for an inhomogeneous time-fractional diffusion-wave equation in an axis-symmetric cylinder ⋮ Backward problems in time for fractional diffusion-wave equation ⋮ On time fractional derivatives in fractional Sobolev spaces and applications to fractional ordinary differential equations ⋮ Coefficient inverse problem for variable order time-fractional diffusion equations from distributed data ⋮ Landweber iteration method for simultaneous inversion of the source term and initial data in a time-fractional diffusion equation

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