tjmcs

Turkish Journal of Mathematics and Computer Science

2148-1830

Matematikçiler Derneği

10.47000/tjmcs.1578171

Operator Algebras and Functional Analysis

Operatör Cebirleri ve Fonksiyonel Analiz

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

https://orcid.org/0000-0001-7382-5327

Şenlik Çerdik

Tuğba

BEYKENT UNIVERSITY

12 30 2025

17 2 396 407 11 02 2024 07 23 2025

2013

Turkish Journal of Mathematics and Computer Science

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.

Positive solution fixed-point theorem fractional derivative

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