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March 15, 2026Filomat0 citationsOpen Access

Some corrections to uniqueness results for the solutions of singular fractional boundary value problems with p-Laplacian

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EÇErbil ÇetinFTFatma Serap Topal

Key Points

  • To address inconsistencies in the boundary conditions of singular fractional boundary value problems with p-Laplacian and their implications on uniqueness results.
  • Analysis of previously published lemmas regarding unique solutions.
  • Identification of inconsistencies in boundary condition formulations.
  • Proposing corrected boundary conditions.
  • Correction indicates the chosen boundary conditions do not guarantee uniqueness.
  • Successful identification of errors affecting results in Lemmas 2.3 and 2.5.

Abstract

In the published articles ?Positive Solutions of Singular Fractional Boundary Value Problem with p-Laplacian? by Dehong and ?Existence of positive solutions for singular fractional boundary value problems with p-Laplacian? by Hamal and Erkan, we identified an inconsistency in the formulations of the boundary conditions. This inconsistency has significant implications for the results presented in Lemma 2.3 in 3 and Lemma 2.5 in 6. Specifically, while the lemmas assert the existence of a unique solution under the stated boundary conditions, our analysis shows that the chosen boundary conditions do not guarantee uniqueness. The purpose of this erratum is to clarify the errors, examine them impact on the results, and provide the corrected boundary conditions along with a revised statement regarding the uniqueness of the solution.

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Cite This Study

Çetin et al. (2025) studied this question.

synapsesocial.com/papers/69b606af83145bc643d1ce19https://doi.org/10.2298/fil2521397c
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