Determining the random source and initial value simultaneously in stochastic fractional diffusion equations
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Publication:6610211
DOI10.3934/CAC.2023013MaRDI QIDQ6610211
Guang-Hui Zheng, Ting Wei, Li-Li Wang
Publication date: 25 September 2024
Published in: Communications on Analysis and Computation (Search for Journal in Brave)
random sourceconvergence rate estimaterandom initial valueTikhonov regularizatiotime-fractional stochastic diffusion equation
Cites Work
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- A new difference scheme for the time fractional diffusion equation
- Determination of an unknown source term and the temperature distribution for the linear heat equation involving fractional derivative in time
- Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators
- Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Simultaneous inversion of the fractional order and the space-dependent source term for the time-fractional diffusion equation
- Reconstruction of the time-dependent source term in a stochastic fractional diffusion equation
- Landweber iteration method for simultaneous inversion of the source term and initial data in a time-fractional diffusion equation
- Simultaneous inversion of a time-dependent potential coefficient and a time source term in a time fractional diffusion-wave equation
- Application of the generalized multiscale finite element method in an inverse random source problem
- Fractional time stochastic partial differential equations
- Determining a fractional Helmholtz equation with unknown source and scattering potential
- Simultaneous inversion of time-dependent source term and fractional order for a time-fractional diffusion equation
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Maximum principle for the generalized time-fractional diffusion equation
- Simultaneous inversion for the space-dependent diffusion coefficient and the fractional order in the time-fractional diffusion equation
- Maximum principle and its application for the time-fractional diffusion equations
- Inverse Random Source Scattering Problems in Several Dimensions
- Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation
- Sharp convergence rates of time discretization for stochastic time-fractional PDEs subject to additive space-time white noise
- Recovering the potential and order in one-dimensional time-fractional diffusion with unknown initial condition and source *
- An inverse random source problem in a stochastic fractional diffusion equation
- An inverse random source problem for the time fractional diffusion equation driven by a fractional Brownian motion
- Uniqueness in determining fractional orders of derivatives and initial values
- A Unified Convergence Analysis for the Fractional Diffusion Equation Driven by Fractional Gaussian Noise with Hurst Index $H\in(0,1)$
- Identifying a fractional order and a space source term in a time-fractional diffusion-wave equation simultaneously
- Initial-boundary-value problems for the one-dimensional time-fractional diffusion equation
- Nonlinear stochastic time-fractional diffusion equations on $\mathbb {R}$: Moments, Hölder regularity and intermittency
- Tikhonov Regularisation Method for Simultaneous Inversion of the Source Term and Initial Data in a Time-Fractional Diffusion Equation
- The completely monotonic character of the Mittag-Leffler function 𝐸ₐ(-𝑥)
- Numerical solution of an inverse random source problem for the time fractional diffusion equation via PhaseLift
- Simultaneous inversion of the potential term and the fractional orders in a multi-term time-fractional diffusion equation
- An inverse random source problem for the time-space fractional diffusion equation driven by fractional Brownian motion
- Simultaneous inversion of two initial values for a time‐fractional diffusion‐wave equation
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