Uniqueness for an inverse source problem of determining a space-dependent source in a non-autonomous time-fractional diffusion equation

DOI10.1515/fca-2020-0084zbMath1474.35701OpenAlexW3119583346MaRDI QIDQ2660637

Marián Slodička

Publication date: 31 March 2021

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://biblio.ugent.be/publication/8700438/file/8700442

zbMATH Keywords

uniquenessinverse source problemtime-fractional diffusion equation

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Inverse problems for functional-differential equations (34K29)

Related Items (6)

On a control problem for the subdiffusion equation with a fractional derivative in the sense of Caputo ⋮ Analytical and numerical solutions of time-fractional advection-diffusion-reaction equation ⋮ Direct and inverse problems for time-fractional heat equation generated by Dunkl operator ⋮ Time-dependent source identification problem for a fractional Schrödinger equation with the Riemann-Liouville derivative ⋮ Solution of the backward problem for the space-time fractional diffusion equation related to the release history of a groundwater contaminant ⋮ Reconstruction of a Space-Time-Dependent Source in Subdiffusion Models via a Perturbation Approach

Cites Work

• Unnamed Item
• Unnamed Item
• Uniqueness and counterexamples in some inverse source problems
• Inverse source problem with a final overdetermination for a fractional diffusion equation
• Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
• Simultaneous determination of source terms in a linear parabolic problem from the final overdetermination: weak solution approach
• Semigroups of linear operators and applications to partial differential equations
• Frequency domain methods for Volterra equations
• Uniqueness for an inverse source problem of determining a space dependent source in a time-fractional diffusion equation
• Two regularization methods to identify a space-dependent source for the time-fractional diffusion equation
• Uniqueness for an inverse source problem of determining a space dependent source in a non-autonomous parabolic equation
• Inverse source problem for a time-fractional diffusion equation with nonlocal boundary conditions
• Landweber iterative regularization method for identifying the unknown source of the modified Helmholtz equation
• A modified quasi-boundary value method for an inverse source problem of the time-fractional diffusion equation
• Maximum principle for the generalized time-fractional diffusion equation
• Inverse parabolic problems with the final overdetermination
• Recovery of a space-dependent vector source in thermoelastic systems
• An inverse random source problem in a stochastic fractional diffusion equation
• An inverse source problem for a two dimensional time fractional diffusion equation with nonlocal boundary conditions
• A variational method for identifying a spacewise-dependent heat source

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