Landweber iterative method for an inverse source problem of time-space fractional diffusion-wave equation

Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Linear operators and ill-posed problems, regularization (47A52) Fractional partial differential equations (35R11)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Inverse space-dependent force problems for the wave equation
Uniqueness for an inverse space-dependent source term in a multi-dimensional time-fractional diffusion equation
Maximum principles for a time-space fractional diffusion equation
A new regularization method for a Cauchy problem of the time fractional diffusion equation
Stable numerical solution to a Cauchy problem for a time fractional diffusion equation
An improved iteration regularization method and application to reconstruction of dynamic loads on a plate
Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
Initial value problems for fractional differential equations involving Riemann-Liouville sequential fractional derivative
Fractional diffusion equations by the Kansa method
On fractional diffusion and continuous time random walks
Convergence criteria of iterative methods based on Landweber iteration for solving nonlinear problems
An iteration regularization for a time-fractional inverse diffusion problem
Solving a final value fractional diffusion problem by boundary condition regularization
A quasi-boundary regularization method for identifying the initial value of time-fractional diffusion equation on spherically symmetric domain
Landweber iterative method for identifying the initial value problem of the time-space fractional diffusion-wave equation
An optimal regularization method for space-fractional backward diffusion problem
The quasi-boundary value method for identifying the initial value of heat equation on a columnar symmetric domain
Inverse source problem for a time-fractional diffusion equation with nonlocal boundary conditions
Regularized solution of an inverse source problem for a time fractional diffusion equation
Fractional Tikhonov method for an inverse time-fractional diffusion problem in 2-dimensional space
The quasi-reversibility regularization method for identifying the unknown source for time fractional diffusion equation
Identifying an unknown source in a space-fractional diffusion equation
Landweber iterative regularization method for identifying the unknown source of the modified Helmholtz equation
Recognition of a time-dependent source in a time-fractional wave equation
Simultaneous inversion for the exponents of the fractional time and space derivatives in the space-time fractional diffusion equation
A mollification regularization method for unknown source in time-fractional diffusion equation
Numerical Inversion of a Time-Dependent Reaction Coefficient in a Soil-Column Infiltrating Experiment
Landweber iteration regularization method for identifying unknown source on a columnar symmetric domain
An inverse source problem for a one-dimensional space–time fractional diffusion equation
The inverse source problem for time-fractional diffusion equation: stability analysis and regularization
The quasi‐reversibility method for a final value problem of the time‐fractional diffusion equation with inhomogeneous source