The quasi-reversibility method for an inverse source problem for time-space fractional parabolic equations
DOI10.1016/J.JDE.2022.10.029zbMath1502.35203OpenAlexW4308498498MaRDI QIDQ2101083
Nguyen Van Thang, Nguyen Van Duc, Nguyen Trung Thành
Publication date: 28 November 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2022.10.029
error estimatesquasi-reversibility methodnumerical implementationinverse source problems for time-space fractional parabolic equations
Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Fractional partial differential equations (35R11)
Related Items (3)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Identifying an unknown source in time-fractional diffusion equation by a truncation method
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- The application of the method of quasi-reversibility to the sideways heat equation
- Time fractional quantum mechanics
- Landweber iterative regularization method for identifying the unknown source of the time-fractional diffusion equation
- Regularization for ill-posed Cauchy problems associated with generators of analytic semigroups
- Heterogeneous diffusion in comb and fractal grid structures
- The role of fractional calculus in modeling biological phenomena: a review
- Identifying an unknown source term in a time-space fractional parabolic equation
- Modeling extreme-event precursors with the fractional diffusion equation
- An inverse time-dependent source problem for a time-space fractional diffusion equation
- The quasi-reversibility regularization method for identifying the unknown source for time fractional diffusion equation
- Two numerical methods for solving a backward heat conduction problem
- Reconstruction of a time-dependent source term in a time-fractional diffusion equation
- Regularization of backward time-fractional parabolic equations by Sobolev-type equations
- An inverse source problem for a one-dimensional space–time fractional diffusion equation
- Characterizations and simulations of a class of stochastic processes to model anomalous diffusion
- Identifying an unknown source term in a heat equation
- Optimality for ill-posed problems under general source conditions
- A simple non-chaotic map generating subdiffusive, diffusive, and superdiffusive dynamics
- Fractional Differential Equations
- Inverse source problems for a space–time fractional differential equation
- Identifying an unknown source term of a parabolic equation in Banach spaces
- Stability results for backward time-fractional parabolic equations
- A tutorial on inverse problems for anomalous diffusion processes
- Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions
- Weak unique continuation property and a related inverse source problem for time-fractional diffusion-advection equations
This page was built for publication: The quasi-reversibility method for an inverse source problem for time-space fractional parabolic equations