Regularization of a sideways problem for a time-fractional diffusion equation with nonlinear source

DOI10.1515/JIIP-2018-0040zbMath1436.35244arXiv1910.03228OpenAlexW2993631913WikidataQ126626318 ScholiaQ126626318MaRDI QIDQ1987122

Nguyen Huy Tuan, Tran Bao Ngoc, Mukhtar Bin Muhammad Kirane

Publication date: 9 April 2020

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.03228

zbMATH Keywords

Fourier transformregularization methodill-posedCaputo's fractional derivatives

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Inverse problems for PDEs (35R30) Nonlinear ill-posed problems (47J06) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11) Harmonic analysis and PDEs (42B37)

Related Items (1)

Source identification problems for abstract semilinear nonlocal differential equations

Cites Work

• An inverse problem for fractional diffusion equation in 2-dimensional case: stability analysis and regularization
• Spectral regularization method for solving a time-fractional inverse diffusion problem
• Spectral regularization method for a Cauchy problem of the time fractional advection-dispersion equation
• Recovery of the solute concentration and dispersion flux in an inhomogeneous time fractional diffusion equation
• Sideways heat equation and wavelets
• A New Regularization Method for the Time Fractional Inverse Advection-Dispersion Problem
• Recover the solute concentration from source measurement and boundary data
• A spectral method for solving the sideways heat equation
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