Fractional Landweber method for an initial inverse problem for time-fractional wave equations
From MaRDI portal
Publication:5856184
DOI10.1080/00036811.2019.1622682zbMath1460.35375OpenAlexW2951351328WikidataQ127653786 ScholiaQ127653786MaRDI QIDQ5856184
Le Nhat Huynh, Yong Zhou, Nguyen Huy Tuan, Donal O'Regan
Publication date: 24 March 2021
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2019.1622682
Initial-boundary value problems for second-order hyperbolic equations (35L20) Inverse problems for PDEs (35R30) Other special methods applied to PDEs (35A25) Fractional partial differential equations (35R11)
Related Items (6)
On a backward problem for nonlinear time fractional wave equations ⋮ Simultaneous inversion for a fractional order and a time source term in a time-fractional diffusion-wave equation ⋮ Identifying a fractional order and a time-dependent coefficient in a time-fractional diffusion wave equation ⋮ Regularization of a backward problem for composite fractional relaxation equations ⋮ Advances in solving conformable nonlinear partial differential equations and new exact wave solutions for Oskolkov‐type equations ⋮ Iterative regularization method for an abstract ill-posed generalized elliptic equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fractional Tikhonov regularization for linear discrete ill-posed problems
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Inverse initial-boundary value problem for a fractional diffusion-wave equation with a non-Carleman shift
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- On a backward problem for nonlinear fractional diffusion equations
- Solution for a fractional diffusion-wave equation defined in a bounded domain
- The backward problem for a time-fractional diffusion-wave equation in a bounded domain
- On a backward problem for inhomogeneous time-fractional diffusion equations
- Existence and regularity of final value problems for time fractional wave equations
- Inverse source problem for a time-fractional diffusion equation with nonlocal boundary conditions
- An inverse problem for an inhomogeneous time-fractional diffusion equation: a regularization method and error estimate
- A posteriori regularization parameter choice rule for the quasi-boundary value method for the backward time-fractional diffusion problem
- Fractional Tikhonov regularization with a nonlinear penalty term
- Recognition of a time-dependent source in a time-fractional wave equation
- A modified iterative regularization method for ill-posed problems
- Identification of an inverse source problem for time‐fractional diffusion equation with random noise
- Some Advances on Image Processing by Means of Fractional Calculus
- Regularization by fractional filter methods and data smoothing
- An introduction to the mathematical theory of inverse problems
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: Fractional Landweber method for an initial inverse problem for time-fractional wave equations