Simultaneous identification of three parameters in a time-fractional diffusion-wave equation by a part of boundary Cauchy data

作者:

Highlights:

• Find a new result for Mittag-Leffler functions.

• Prove the uniqueness of the inverse problem.

• Use an effective and stable algorithm to solve the inverse problem numerically.

摘要

•Find a new result for Mittag-Leffler functions.•Prove the uniqueness of the inverse problem.•Use an effective and stable algorithm to solve the inverse problem numerically.

论文关键词:Inverse problem,Time-fractional diffusion-wave equation,Uniqueness,Iterative regularizing ensemble Kalman method

论文评审过程:Received 17 February 2020, Revised 28 April 2020, Accepted 10 May 2020, Available online 1 June 2020, Version of Record 1 June 2020.

论文官网地址:https://doi.org/10.1016/j.amc.2020.125382