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

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.

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Publication Details

Journal
Journal of Inverse and Ill-Posed Problems
Published
2026-01-30
DOI
https://doi.org/10.1515/jiip-2025-0079
Primary Topic
Fractional Differential Equations Solutions
Type
article
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article

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

Nguyen Phuong Ha, Nguyen Van Duc
Journal of Inverse and Ill-Posed Problems
Fractional Differential Equations Solutions
article

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

Nguyen Phuong Ha, Nguyen Van Duc
article en

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.

Journal of Inverse and Ill-Posed Problems
Vinh University (VN)
Openalex Percentile: Top 73%
Fractional Differential Equations Solutions
DOISourceOpenAlex
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Stability estimate for identification of the unknown source term and initial value for the time fractional diffusion equation with local and nonlocal operators — Nguyen Phuong Ha, Nguyen Van Duc · Journal of Inverse and Ill-Posed Problems (2026) | TGRS Research Map | TGRS