New type of the unique continuation property for a fractional diffusion equation and an inverse source problem

Abstract In this work, a new type of the unique continuation property for time-fractional diffusion equations is studied. The proof is mainly based on the Laplace transform and the properties of Bessel functions. As an application, the uniqueness of the inverse problem in the simultaneous determinat...

Full description

Bibliographic Details
Main Authors: Wenyi Liu, Chengbin Du, Zhiyuan Li
Format: Article
Language:English
Published: SpringerOpen 2024-01-01
Series:Boundary Value Problems
Subjects:
Online Access:https://doi.org/10.1186/s13661-024-01827-5