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We examine specific hypotheses and estimates in the article of Bourhim, Channan, Hilal and Kajouni, “Ulam-Hyers-Mittag-Leffler stability of a fractional proportional integral equation with multiple variable delays,” Indian Journal of Pure and Applied Mathematics (2026), DOI: 10.1007/s13226-026-01038-x. Both illustrative examples violate the assumed retardation inequalities, and neither satisfies the pointwise Lipschitz condition used to justify its application of the stated results. We exhibit counterexamples respecting the examples’ zero initial data. In Theorem 7’s proof a factor [ρ^α Γ(α)]^(-1) is omitted from the Hölder estimate; an explicit admissible operator violates the claimed contraction coefficient. We also identify a mismatch between the scalar weighted metric and the pointwise residual estimate. Corrected sufficient conditions and a complete weighted fixed-point proof are provided. A failed estimate or example does not, by itself, disprove the corresponding stability conclusion. Independent technical correction; revised working manuscript, not a journal-issued corrigendum. The manuscript includes funding, competing-interest, data-availability, author-contribution and AI-assistance declarations.
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Zeraoulia Rafik (2026) studied this question.
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