Solving the backward problem in Riesz-Feller fractional diffusion by a new nonlocal regularization method
DOI10.1016/j.apnum.2018.08.008zbMath1404.65147OpenAlexW2888185296MaRDI QIDQ1615845
Publication date: 31 October 2018
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2018.08.008
backward problema posteriori parameter choiceconvergence rate estimatenonlocal regularization methodRiesz-Feller fractional diffusion
Regularity of solutions in optimal control (49N60) Numerical methods for discrete and fast Fourier transforms (65T50) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) PDEs with randomness, stochastic partial differential equations (35R60) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Fractional partial differential equations (35R11) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)
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Cites Work
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- Recovering the initial distribution for space-fractional diffusion equation by a logarithmic regularization method
- A new \textit{a posteriori} parameter choice strategy for the convolution regularization of the space-fractional backward diffusion problem
- Direct and inverse source problems for a space fractional advection dispersion equation
- Image recovery via nonlocal operators
- Fractional order signal processing. Introductory concepts and applications.
- Fractional derivatives for physicists and engineers. Volume I: Background and theory. Volume II: Applications
- Approximation of the Lévy-Feller advection-dispersion process by random walk and finite difference method
- Spectral analysis of a two body problem with zero-range perturbation
- Ultra-analytic effect of Cauchy problem for a class of kinetic equations
- Some recent advances in theory and simulation of fractional diffusion processes
- The fractional diffusion model with an absorption term and modified Fick's law for non-local transport processes
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Solving the backward problem for space-fractional diffusion equation by a fractional Tikhonov regularization method
- Fractional order differentiation and robust control design: CRONE, H-infinity and motion control.
- Fractional thermoelasticity
- Numerical approximation of Lévy-Feller diffusion equation and its probability interpretation
- Finite difference approximations for two-sided space-fractional partial differential equations
- Two regularization methods for solving a Riesz–Feller space-fractional backward diffusion problem
- Nonlocal Operators with Applications to Image Processing
- A regularization for a Riesz–Feller space-fractional backward diffusion problem
- Modulus of continuity for conditionally stable ill-posed problems in Hilbert space
- Fractional Fick's law: the direct way
- A generalized master equation approach to modelling anomalous transport in animal movement
- The fundamental solution of the space-time fractional diffusion equation
- Determining the initial distribution in space-fractional diffusion by a negative exponential regularization method
- Nonlocal Mumford-Shah Regularizers for Color Image Restoration
- Conditional Stability Estimates for Ill-Posed PDE Problems by Using Interpolation
- An inverse problem for space‐fractional backward diffusion problem
- Stochastic Calculus for Fractional Brownian Motion and Applications
- The fractional Fick's law for non-local transport processes
- Fractional diffusion: probability distributions and random walk models
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
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