Simultaneous inversion of the source term and initial value of the time fractional diffusion equation

DOI10.3846/MMA.2024.18133zbMATH Open1542.35456MaRDI QIDQ6559037

Jianming Xu, Xiao-Xiao Li, Fan Yang

Publication date: 21 June 2024

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

zbMATH Keywords

Could not fetch data.

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Linear operators and ill-posed problems, regularization (47A52)

Cites Work

• Strong maximum principle for fractional diffusion equations and an application to an inverse source problem
• Identifying an unknown source in time-fractional diffusion equation by a truncation method
• An inverse problem for a fractional diffusion equation
• Optimal error bound and simplified Tikhonov regularization method for a backward problem for the time-fractional diffusion equation
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Simultaneous determination of the space-dependent source and the initial distribution in a heat equation by regularizing Fourier coefficients of the given measurements
• Landweber iterative method for identifying a space-dependent source for the time-fractional diffusion equation
• Tikhonov regularization method for a backward problem for the time-fractional diffusion equation
• Solving a final value fractional diffusion problem by boundary condition regularization
• Three regularization methods for identifying the initial value of time fractional advection-dispersion equation
• Determination of three parameters in a time-space fractional diffusion equation
• Inverse source problem for a time-fractional diffusion equation with nonlocal boundary conditions
• A posteriori regularization parameter choice rule for the quasi-boundary value method for the backward time-fractional diffusion problem
• Simultaneous inversion for the space-dependent diffusion coefficient and the fractional order in the time-fractional diffusion equation
• Simultaneous determination of a time-dependent heat source and the initial temperature in an inverse heat conduction problem
• A modified quasi-boundary value method for the backward time-fractional diffusion problem
• Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation
• Reconstruction of an order of derivative and a source term in a fractional diffusion equation from final measurements
• The quasi‐reversibility method for a final value problem of the time‐fractional diffusion equation with inhomogeneous source
• Identifying a fractional order and a space source term in a time-fractional diffusion-wave equation simultaneously
• Tikhonov Regularisation Method for Simultaneous Inversion of the Source Term and Initial Data in a Time-Fractional Diffusion Equation
• A backward problem for the time-fractional diffusion equation
• Simultaneous inversion of two initial values for a time‐fractional diffusion‐wave equation
• A non-stationary iterative Tikhonov regularization method for simultaneous inversion in a time-fractional diffusion equation
• Simultaneous inversion of the space-dependent source term and the initial value in a time-fractional diffusion equation

This page was built for publication: Simultaneous inversion of the source term and initial value of the time fractional diffusion equation

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6559037)