Identifying a space-dependent source term in distributed order time-fractional diffusion equations
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Publication:6099185
DOI10.3934/mcrf.2022025OpenAlexW4285264412MaRDI QIDQ6099185
Publication date: 19 June 2023
Published in: Mathematical Control and Related Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mcrf.2022025
regularizationill-posed probleminverse source problemdistributed order time-fractional diffusion equationorder optimal error estimate
Error bounds for boundary value problems involving PDEs (65N15) Fractional derivatives and integrals (26A33) Inverse problems for PDEs (35R30) Linear operators and ill-posed problems, regularization (47A52) Numerical methods for partial differential equations, boundary value problems (65Nxx)
Cites Work
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- Nonlocal diffusion and applications
- Identification of an unknown time-dependent heat source term from overspecified Dirichlet boundary data by conjugate gradient method
- On the generalized discrepancy principle for Tikhonov regularization in Hilbert scales
- Analyticity of solutions to a distributed order time-fractional diffusion equation and its application to an inverse problem
- An implicit finite difference approximation for the solution of the diffusion equation with distributed order in time
- On time-fractional diffusion equations with space-dependent variable order
- Decay of solutions to parabolic-type problem with distributed order Caputo derivative
- Two regularization methods to identify a space-dependent source for the time-fractional diffusion equation
- Inverse time-dependent source problems for the heat equation with nonlocal boundary conditions
- Optimal regularization for an unknown source of space-fractional diffusion equation
- Identification of the time-dependent source term in a multi-term time-fractional diffusion equation
- Recovering the weight function in distributed order fractional equation from interior measurement
- Optimal error bound and truncation regularization method for a backward time-fractional diffusion problem in Hilbert scales
- On Tikhonov's method and optimal error bound for inverse source problem for a time-fractional diffusion equation
- Regularized solution of an inverse source problem for a time fractional diffusion equation
- Uniqueness in the inversion of distributed orders in ultraslow diffusion equations
- Inverse source problem for a distributed-order time fractional diffusion equation
- Asymptotic estimates of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations
- Finite difference/finite element methods for distributed-order time fractional diffusion equations
- Distributed order calculus and equations of ultraslow diffusion
- Fractional diffusion: recovering the distributed fractional derivative from overposed data
- Inverse source problem for a fractional diffusion equation
- Regularity of the obstacle problem for a fractional power of the laplace operator
- An inverse source problem for a one-dimensional space–time fractional diffusion equation
- Optimality for ill-posed problems under general source conditions
- An inverse source problem for distributed order time-fractional diffusion equation
- Initial-boundary value problem for distributed order time-fractional diffusion equations
- Identification of a time-dependent source term for a time fractional diffusion problem
- Determination of an Unknown Heat Source from Overspecified Boundary Data
- Numerical analysis for the time distributed-order and Riesz space fractional diffusions on bounded domains
