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Dergiler / Turkish Journal of Mathematics and Computer Science / 2025 / Volume: 17 Issue: 2

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

Tuğba Şenlik Çerdik(BEYKENT UNIVERSITY)0000-0001-7382-5327
Sayfa
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Yayın Tarihi
2025-12-30
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An illustrative example is also provided to support the theoretical findings.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:This study investigates sufficient conditions to guarantee the existence of positive solutions for a fractional boundary value problem with integral boundary conditions.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı:An illustrative example is also provided to support the theoretical findings.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Positive solution · fixed-point theorem · fractional derivative

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.

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Bu Makaleye Atıf Yap

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

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