Simultaneous inversion of time-dependent source term and fractional order for a time-fractional diffusion equation

DOI10.1016/J.CAM.2019.112566zbMath1454.65108OpenAlexW2985977937WikidataQ126853163 ScholiaQ126853163MaRDI QIDQ2292028

Zhousheng Ruan, Sen Zhang

Publication date: 31 January 2020

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2019.112566

zbMATH Keywords

Laplace transformTikhonov regularizationanalytic continuationdiscrepancy principleinverse source problemCaputo fractional derivativetime fractional diffusion equationtwo-parametric Mittag-Leffler functionidentification of fractional order

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Mittag-Leffler functions and generalizations (33E12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Laplace transform (44A10) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Analytic continuation of functions of one complex variable (30B40) Fractional partial differential equations (35R11)

Related Items (4)

On the simultaneous reconstruction of the initial diffusion time and source term for the time-fractional diffusion equation ⋮ Simultaneous inversion for a fractional order and a time source term in a time-fractional diffusion-wave equation ⋮ Fractional Tikhonov regularization method for simultaneous inversion of the source term and initial data in a time-fractional diffusion equation ⋮ Simultaneous inversion of the space-dependent source term and the initial value in a time-fractional diffusion equation

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