Simultaneous inversion of a fractional order and a space source term in an anomalous diffusion model
DOI10.1515/jiip-2021-0027OpenAlexW4286203130MaRDI QIDQ2101111
Xiong-bin Yan, Kaifang Liao, Liang-Liang Sun
Publication date: 28 November 2022
Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jiip-2021-0027
uniquenessinverse source problemfractional diffusion equationdetermination of fractional ordermodified non-stationary iterative Tikhonov regularization method
Numerical optimization and variational techniques (65K10) Fractional derivatives and integrals (26A33) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Laplace transform (44A10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
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