Work

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

Year: 2025

Type: article

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.

Source: Turkish Journal of Mathematics and Computer Science

DOI: 10.47000/tjmcs.1578171

Author: Tuğba Şenlik Çerdik

Institution: Beykent University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7117561516

FWCI:

Cites: 23

Cited by:

Related to: 10