A Mollification Regularization Method for the Inverse Source Problem for a Time Fractional Diffusion Equation

A Mollification Regularization Method for the Inverse Source Problem for a Time Fractional Diffusion Equation

We consider a time-fractional diffusion equation for an inverse problem to determine an unknown source term, whereby the input data is obtained at a certain time. In general, the inverse problems are ill-posed in the sense of Hadamard. Therefore, in this study, we propose a mollification regularizat...

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Bibliographic Details
Main Authors: Le Dinh Long, Yong Zhou, Tran Thanh Binh, Nguyen Can
Format: Article
Language:English
Published: MDPI AG 2019-11-01
Series:Mathematics
Subjects:
time-fractional diffusion equation
inverse problem
ill-posed problem
convergence estimates
Online Access:https://www.mdpi.com/2227-7390/7/11/1048

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