Work

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

Year: 2026

Type: article

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.

Source: Journal of Inequalities and Applications

DOI: 10.1186/s13660-026-03529-1

Authors: Zhiwen Chen, Yunhui Zeng, Jiashun Pu

Institutions: Hengyang Normal University, Hengyang Normal University Nanyue College

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,190

Funder: Natural Science Foundation of Hunan Province