Identification and regularization for unknown source for a time-fractional diffusion equation

DOI10.1016/J.CAMWA.2016.10.002zbMath1409.35230OpenAlexW2548687490MaRDI QIDQ666758

Luu Vu Cam Hoan, Nguyen Huy Tuan, Le Dinh Long, Mukhtar Bin Muhammad Kirane

Publication date: 12 March 2019

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2016.10.002

zbMATH Keywords

regularizationdiffusion processfractional derivativeinverse source probleminhomogeneous source

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Fractional partial differential equations (35R11)

Related Items (10)

On an inverse problem of reconstructing a heat conduction process from nonlocal data ⋮ A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations ⋮ On a time fractional diffusion with nonlocal in time conditions ⋮ Identifying the initial state for a parabolic diffusion from their time averages with fractional derivative ⋮ Convolution kernel determination problem for the time-fractional diffusion equation ⋮ Identification of an inverse source problem for time‐fractional diffusion equation with random noise ⋮ The spectral meshless radial point interpolation method for solving an inverse source problem of the time-fractional diffusion equation ⋮ Generalized Tikhonov methods for an inverse source problem of the time-fractional diffusion equation ⋮ On the recovery of a time dependent diffusion coefficient for a space fractional diffusion equation ⋮ Identification of the degradation coefficient for an anomalous diffusion process in hydrology

Uses Software

• Mittag-Leffler
• mlf

Cites Work

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• Uniqueness in inverse boundary value problems for fractional diffusion equations
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• Weak unique continuation property and a related inverse source problem for time-fractional diffusion-advection equations
• An inverse source problem for a two dimensional time fractional diffusion equation with nonlocal boundary conditions

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