Solving the backward problem for time-fractional wave equations by the quasi-reversibility regularization method

DOI10.1007/s10444-023-10080-wzbMath1527.35482OpenAlexW4388266522MaRDI QIDQ6063020

Yongping Wang, Zhi-yuan Li, Jin Wen

Publication date: 2 December 2023

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-023-10080-w

zbMATH Keywords

uniquenessbackward problemfractional wave equationquasi-reversibility regularization method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Fractional partial differential equations (35R11)

Related Items (1)

The quasi-reversibility regularization method for backward problem of the multi-term time-space fractional diffusion equation

Cites Work

• Distribution of roots of Mittag-Leffler functions
• Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On a backward problem for nonlinear fractional diffusion equations
• Waiting-times and returns in high-frequency financial data: An empirical study
• The backward problem for a time-fractional diffusion-wave equation in a bounded domain
• On a Lyapunov-type inequality and the zeros of a certain Mittag-Leffler function
• Identify the fractional order and diffusion coefficient in a fractional diffusion wave equation
• Determine a space-dependent source term in a time fractional diffusion-wave equation
• Time-fractional diffusion equation in the fractional Sobolev spaces
• Maximum principle and its application for the time-fractional diffusion equations
• Inverse heat source problem from time distributing overdetermination
• The Identification of the Time-Dependent Source Term in Time-Fractional Diffusion-Wave Equations
• Reconstruction of a time-dependent source term in a time-fractional diffusion-wave equation
• Backward Diffusion-Wave Problem: Stability, Regularization, and Approximation
• Time-Fractional Differential Equations
• Backward problems in time for fractional diffusion-wave equation
• Inverse problem with a time‐integral condition for a fractional diffusion equation
• RECOVERING A SPACE-DEPENDENT SOURCE TERM IN A TIME-FRACTIONAL DIFFUSION WAVE EQUATION
• A backward problem for the time-fractional diffusion equation
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

This page was built for publication: Solving the backward problem for time-fractional wave equations by the quasi-reversibility regularization method