The paper establishes a new stability estimate for identifying source terms in time fractional diffusion equations, suggesting a method for mathematical modeling.
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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Duc et al. (2026) studied this question.
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