Stability estimate for identification of the unknown source term and initial value for the time fractional diffusion equation with local and nonlocal operators

Journal of Inverse and Ill-Posed Problems 2026 Open access

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Authors: Nguyen Van Duc, Nguyen Phuong Ha
DOI: 10.1515/jiip-2025-0079
Cited by: 1
References: 10

Abstract

Abstract In this paper, we establish a Hölder-type stability estimate for the identification of an unknown source term and initial value in the time-fractional diffusion equation with both local and nonlocal operators. To the best of our knowledge, this is the first stability estimate result for this problem.

Fields of Study & Subjects

Fractional Differential Equations Solutions Nonlinear Differential Equations Analysis Stability and Controllability of Differential Equations

Publication details

Journal / source
Journal of Inverse and Ill-Posed Problems
Publisher
Walter de Gruyter GmbH
Volume
34
Issue
2
Pages
307–319
Publication date
30 January 2026
Language
EN