Work

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

Year: 2026

Type: article

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.

Source: Journal of Inverse and Ill-Posed Problems

DOI: 10.1515/jiip-2025-0079

Authors: Nguyen Van Duc, Nguyen Phuong Ha

Institution: Vinh University

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,712

OpenAlex ID: W7126218710

FWCI: 11.39

Cites: 10

Cited by: 1

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