Solving a backward problem for a distributed-order time fractional diffusion equation by a new adjoint technique
DOI10.1515/jiip-2019-0082zbMath1447.35394OpenAlexW3014169891MaRDI QIDQ2194635
Kewei Liang, Lele Yuan, Xiao-liang Cheng
Publication date: 4 September 2020
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-2019-0082
convergence analysisMorozov's discrepancy principlea-priori parameter choicedetermining the initial condition from a noisy final datum
Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) PDEs with randomness, stochastic partial differential equations (35R60) Inverse problems in optimal control (49N45) Inverse problems for integral equations (45Q05) Fractional partial differential equations (35R11)
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Cites Work
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- Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data
- The uniqueness of a solution to the inverse Cauchy problem for a fractional differential equation in a Banach space
- Analyticity of solutions to a distributed order time-fractional diffusion equation and its application to an inverse problem
- An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time
- Regularization methods for large-scale problems
- Tikhonov regularization method for a backward problem for the time-fractional diffusion equation
- Inverse source problem for a distributed-order time fractional diffusion equation
- Fractional diffusion equation with distributed-order Caputo derivative
- Asymptotic estimates of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations
- Some high-order difference schemes for the distributed-order differential equations
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Two alternating direction implicit difference schemes for two-dimensional distributed-order fractional diffusion equations
- Distributed order calculus and equations of ultraslow diffusion
- Maximum principle for the generalized time-fractional diffusion equation
- Theory and simulation of time-fractional fluid diffusion in porous media
- A modified quasi-boundary value method for the backward time-fractional diffusion problem
- Fractional diffusion: recovering the distributed fractional derivative from overposed data
- Estimates for a general fractional relaxation equation and application to an inverse source problem
- Initial-boundary value problem for distributed order time-fractional diffusion equations
- A tutorial on inverse problems for anomalous diffusion processes
- Regularization by projection for a backward problem of the time-fractional diffusion equation
- Total variation regularization for a backward time-fractional diffusion problem
- DISTRIBUTED ORDER FRACTIONAL SUB-DIFFUSION
- A backward problem for the time-fractional diffusion equation
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