Existence Results for a Multi-Point $p-$Laplacian Boundary Value Problem of Fractional Order

Tuğba Şenlik Çerdik

doi:10.47000/tjmcs.1578171

Existence Results for a Multi-Point $p-$Laplacian Boundary Value Problem of Fractional Order

Abstract

This study investigates sufficient conditions to guarantee the existence of positive solutions for a fractional boundary value problem with integral boundary conditions. While there has been limited research on Riemann–Liouville fractional boundary value problems involving $p-$Laplacian operators and nonlinear terms with fractional derivatives of unknown functions, this work contributes to filling that gap. By employing Bai–Ge’s fixedpoint theorem and the corresponding Green’s function, we establish the existence of multiple positive solutions. An illustrative example is also provided to support the theoretical findings.

Keywords

References

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Details

Primary Language

English

Subjects

Operator Algebras and Functional Analysis

Journal Section

Research Article

Authors

Tuğba Şenlik Çerdik ^*
0000-0001-7382-5327
Türkiye

Publication Date

December 30, 2025

Submission Date

November 2, 2024

Acceptance Date

July 23, 2025

Published in Issue

Year 2025 Volume: 17 Number: 2

DOI

https://doi.org/10.47000/tjmcs.1578171

IZ

https://izlik.org/JA79YM33CW

Cite

RIS / Bibtex

APA

Şenlik Çerdik, T. (2025). Existence Results for a Multi-Point $p-$Laplacian Boundary Value Problem of Fractional Order. Turkish Journal of Mathematics and Computer Science, 17(2), 396-407. https://doi.org/10.47000/tjmcs.1578171

AMA

1.Şenlik Çerdik T. Existence Results for a Multi-Point $p-$Laplacian Boundary Value Problem of Fractional Order. TJMCS. 2025;17(2):396-407. doi:10.47000/tjmcs.1578171

Chicago

Şenlik Çerdik, Tuğba. 2025. “Existence Results for a Multi-Point $p-$Laplacian Boundary Value Problem of Fractional Order”. Turkish Journal of Mathematics and Computer Science 17 (2): 396-407. https://doi.org/10.47000/tjmcs.1578171.

EndNote

Şenlik Çerdik T (December 1, 2025) Existence Results for a Multi-Point $p-$Laplacian Boundary Value Problem of Fractional Order. Turkish Journal of Mathematics and Computer Science 17 2 396–407.

IEEE

[1]T. Şenlik Çerdik, “Existence Results for a Multi-Point $p-$Laplacian Boundary Value Problem of Fractional Order”, TJMCS, vol. 17, no. 2, pp. 396–407, Dec. 2025, doi: 10.47000/tjmcs.1578171.

ISNAD

Şenlik Çerdik, Tuğba. “Existence Results for a Multi-Point $p-$Laplacian Boundary Value Problem of Fractional Order”. Turkish Journal of Mathematics and Computer Science 17/2 (December 1, 2025): 396-407. https://doi.org/10.47000/tjmcs.1578171.

JAMA

1.Şenlik Çerdik T. Existence Results for a Multi-Point $p-$Laplacian Boundary Value Problem of Fractional Order. TJMCS. 2025;17:396–407.

MLA

Şenlik Çerdik, Tuğba. “Existence Results for a Multi-Point $p-$Laplacian Boundary Value Problem of Fractional Order”. Turkish Journal of Mathematics and Computer Science, vol. 17, no. 2, Dec. 2025, pp. 396-07, doi:10.47000/tjmcs.1578171.

Vancouver

1.Tuğba Şenlik Çerdik. Existence Results for a Multi-Point $p-$Laplacian Boundary Value Problem of Fractional Order. TJMCS. 2025 Dec. 1;17(2):396-407. doi:10.47000/tjmcs.1578171