Oscillation of Hilfer-Prabhakar fractional differential equations with multiple sublinear neutral terms

This paper investigates a class of Hilfer-Prabhakar fractional differential equations involving multiple sublinear neutral terms. It addresses the analytical difficulties caused by the presence of multiple sublinear neutral terms and establishes a series of oscillation criteria for this class of equations. The obtained results further enrich and refine the existing theoretical framework for Caputo-type and Hilfer-type fractional differential equations. Finally, numerical simulation examples are provided to verify the correctness of the theoretical results.

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Publication Details

Journal
Journal of Inequalities and Applications
Published
2026-08-24
DOI
https://doi.org/10.1186/s13660-026-03529-1
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
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article

Oscillation of Hilfer-Prabhakar fractional differential equations with multiple sublinear neutral terms

Jiashun Pu, Zhiwen Chen, Yunhui Zeng
Journal of Inequalities and Applications
Nonlinear Differential Equations Analysis
article

Oscillation of Hilfer-Prabhakar fractional differential equations with multiple sublinear neutral terms

Jiashun Pu, Zhiwen Chen, Yunhui Zeng
article en

Abstract

This paper investigates a class of Hilfer-Prabhakar fractional differential equations involving multiple sublinear neutral terms. It addresses the analytical difficulties caused by the presence of multiple sublinear neutral terms and establishes a series of oscillation criteria for this class of equations. The obtained results further enrich and refine the existing theoretical framework for Caputo-type and Hilfer-type fractional differential equations. Finally, numerical simulation examples are provided to verify the correctness of the theoretical results.

Journal of Inequalities and Applications
Hengyang Normal University (CN)
Openalex Percentile: Top 5%
Nonlinear Differential Equations Analysis
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