Identifying inverse source for fractional diffusion equation with Riemann-Liouville derivative
From MaRDI portal
Publication:2176225
DOI10.1007/s40314-020-1103-2zbMath1449.35450OpenAlexW3005732304MaRDI QIDQ2176225
Yong Zhou, Nguyen Huy Tuan, Le Dinh Long, Nguyen Huu Can
Publication date: 4 May 2020
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-020-1103-2
Smoothness and regularity of solutions to PDEs (35B65) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)
Related Items (12)
An inverse source problem for pseudo-parabolic equation with Caputo derivative ⋮ A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations ⋮ Two regularization methods for identifying the source term problem on the time-fractional diffusion equation with a hyper-Bessel operator ⋮ On a time fractional diffusion with nonlocal in time conditions ⋮ On a nonlocal problem for parabolic equation with time dependent coefficients ⋮ Fixed point problems for generalized contractions with applications ⋮ On backward problem for fractional spherically symmetric diffusion equation with observation data of nonlocal type ⋮ Source identification problems for abstract semilinear nonlocal differential equations ⋮ Regularization of the inverse problem for time fractional pseudo-parabolic equation with non-local in time conditions ⋮ The dependence on fractional orders of mild solutions to the fractional diffusion equation with memory ⋮ Regularization of inverse source problem for fractional diffusion equation with Riemann-Liouville derivative ⋮ Recovering the space source term for the fractional-diffusion equation with Caputo-Fabrizio derivative
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Identifying an unknown source in time-fractional diffusion equation by a truncation method
- Heat conduction with memory: a singular kernel problem
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Determination of an unknown source term and the temperature distribution for the linear heat equation involving fractional derivative in time
- A modified quasi-boundary value method for ill-posed problems
- Solving an inverse source problem for a time fractional diffusion equation by a modified quasi-boundary value method
- Two regularization methods to identify a space-dependent source for the time-fractional diffusion equation
- A linear viscoelasticity problem with a singular memory kernel: an existence and uniqueness result.
- 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
- A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation
- Runge-Kutta convolution quadrature methods for well-posed equations with memory
- Reconstruction of a time-dependent source term in a time-fractional diffusion equation
- An inverse time-dependent source problem for a time-fractional diffusion equation
- Fractional diffusion and wave equations
- Cauchy problem for fractional diffusion-wave equations with variable coefficients
- Smoothing Properties of Linear Volterra Integrodifferential Equations
- An inverse source problem for a two dimensional time fractional diffusion equation with nonlocal boundary conditions
- Identification of a time-dependent source term for a time fractional diffusion problem
- Determination of an unknown source term for an inverse source problem of the time-fractional equation
- Basic Theory of Fractional Differential Equations
- An introduction to the mathematical theory of inverse problems
- Space-time estimates of linear flow and application to some nonlinear integro-differential equations corresponding to fractional-order time derivative
This page was built for publication: Identifying inverse source for fractional diffusion equation with Riemann-Liouville derivative