Existence and stability results for triple systems of fractional Sturm–Liouville–Langevin equations with cyclic boundary conditions

We investigate a triple system of fractional Sturm–Liouville–Langevin equations with cyclic antiperiodic boundary conditions. The fixed point theorem serves as a tool to establish the existence and uniqueness criteria for solutions. By applying the Banach contraction principle, we also obtain the Ulam–Hyers stability of the proposed system. Finally, examples are provided to illustrate main results.

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Publication Details

Journal
Nonlinear Analysis Modelling and Control
Published
2026-01-05
DOI
https://doi.org/10.15388/namc.2026.31.44744
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
Field-Weighted Citation Impact
0.00

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article

Existence and stability results for triple systems of fractional Sturm–Liouville–Langevin equations with cyclic boundary conditions

Zhanbing Bai, G Q Chen, Wei Zhang
Nonlinear Analysis Modelling and Control
Nonlinear Differential Equations Analysis
article

Existence and stability results for triple systems of fractional Sturm–Liouville–Langevin equations with cyclic boundary conditions

Zhanbing Bai, G Q Chen, Wei Zhang
article en

Abstract

We investigate a triple system of fractional Sturm–Liouville–Langevin equations with cyclic antiperiodic boundary conditions. The fixed point theorem serves as a tool to establish the existence and uniqueness criteria for solutions. By applying the Banach contraction principle, we also obtain the Ulam–Hyers stability of the proposed system. Finally, examples are provided to illustrate main results.

Nonlinear Analysis Modelling and ControlVol. 31
Anhui University of Science and Technology (CN), Shandong University of Science and Technology (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 95%
Nonlinear Differential Equations Analysis
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