Unique inversion of orders and potential for multi-term time fractional wave equations

DOI10.1016/J.AML.2024.109319MaRDI QIDQ6656492

Xuyan Jiang, Zhiyuan Li

Publication date: 3 January 2025

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

potentialordersmulti-term time-fractional

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Inverse problems for PDEs (35R30) Fractional partial differential equations (35R11)

Cites Work

• Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
• Initial-boundary value problems for multi-term time-fractional wave equations
• Simultaneous inversion for the space-dependent diffusion coefficient and the fractional order in the time-fractional diffusion equation
• Coefficient inverse problem for a fractional diffusion equation
• Uniqueness in an inverse problem for a one-dimensional fractional diffusion equation
• Fractional Differential Equations
• Recovering the potential and order in one-dimensional time-fractional diffusion with unknown initial condition and source ^*
• Identifying a fractional order and a space source term in a time-fractional diffusion-wave equation simultaneously
• Simultaneous inversion of the potential term and the fractional orders in a multi-term time-fractional diffusion equation
• Existence and uniqueness of a weak solution to fractional single-phase-lag heat equation

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