A fractional Landweber iteration method for simultaneous inversion in a time-fractional diffusion equation

Simultaneous approximation (41A28) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Fractional partial differential equations (35R11)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain
Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
A compact difference scheme for the fractional diffusion-wave equation
Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
Landweber iterative method for identifying a space-dependent source for the time-fractional diffusion equation
Landweber iterative regularization method for identifying the unknown source of the time-fractional diffusion equation
On a backward problem for nonlinear fractional diffusion equations
Solution for a fractional diffusion-wave equation defined in a bounded domain
On Landweber iteration for nonlinear ill-posed problems in Hilbert scales
Landweber iteration method for simultaneous inversion of the source term and initial data in a time-fractional diffusion equation
Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation
A fractional Landweber method for solving backward time-fractional diffusion problem
Fractional Landweber iterative regularization method for identifying the unknown source of the time-fractional diffusion problem
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
A modified iterative regularization method for ill-posed problems
Preconditioning Landweber iteration in Hilbert scales
Numerical Solution of Fractional Diffusion-Wave Equation
A Space-Time Spectral Method for the Time Fractional Diffusion Equation
Continuous-time random walks and the fractional diffusion equation
An iterative method for backward time‐fractional diffusion problem
Existence and regularity results of a backward problem for fractional diffusion equations
Solving a time-fractional inverse heat conduction problem with an unknown nonlinear boundary condition
Tikhonov Regularisation Method for Simultaneous Inversion of the Source Term and Initial Data in a Time-Fractional Diffusion Equation
Regularization by projection for a backward problem of the time-fractional diffusion equation
Regularization by fractional filter methods and data smoothing
A procedure for determining a spacewise dependent heat source and the initial temperature
From diffusion to anomalous diffusion: A century after Einstein’s Brownian motion
An Iteration Formula for Fredholm Integral Equations of the First Kind
Fractional Landweber method for an initial inverse problem for time-fractional wave equations
Simultaneous inversion of the potential term and the fractional orders in a multi-term time-fractional diffusion equation
Simultaneous inversion of two initial values for a time‐fractional diffusion‐wave equation
Fractional Tikhonov regularization method for simultaneous inversion of the source term and initial data in a time-fractional diffusion equation