Simultaneous inversion for a fractional order and a time source term in a time-fractional diffusion-wave equation
DOI10.1515/jiip-2020-0057zbMath1527.65086MaRDI QIDQ6080349
Kaifang Liao, Lei Zhang, Ting Wei
Publication date: 30 October 2023
Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)
uniquenessLevenberg-Marquardt methodtime-fractional diffusion-wave equationfast tensor methodrecover of fractional order and time source
Numerical optimization and variational techniques (65K10) Fractional derivatives and integrals (26A33) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Mittag-Leffler functions and generalizations (33E12) Nonlinear constitutive equations for materials with memory (74D10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs with randomness, stochastic partial differential equations (35R60) Multilinear algebra, tensor calculus (15A69) 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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