Existence and stability of solutions for a class of fractional hybrid （<italic style="font-style: italic">p</italic><italic style="font-style: italic">，</italic><italic style="font-style: italic">q</italic>）-integral-difference systems

HUANG Chengbin; ZHOU Wenxue; CHEN Xiao

doi:10.13471/j.cnki.acta.snus.ZR20250111

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Existence and stability of solutions for a class of fractional hybrid （p，q）-integral-difference systems

Research articles | 更新时间：2026-01-19

- Existence and stability of solutions for a class of fractional hybrid （p，q）-integral-difference systems
- Acta Scientiarum Naturalium Universitatis Sunyatseni Vol. 65, Issue 1, Pages: 144-156(2026)
- 作者机构：
  
  兰州交通大学数理学院，甘肃兰州 730070
- 作者简介：
- 基金信息：
- DOI：10.13471/j.cnki.acta.snus.ZR20250111
  CLC： O175.8
- Received：21 June 2025，
  
  Revised：2025-08-19，
  
  Accepted：25 August 2025，
  
  Online First：23 October 2025，
  
  Published：25 January 2026
- 稿件说明：
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黄程斌,周文学,陈潇.一类分数阶混合（p，q）-积分差分系统解的存在性和稳定性[J].中山大学学报(自然科学版)(中英文),2026,65(01):144-156.

HUANG Chengbin,ZHOU Wenxue,CHEN Xiao.Existence and stability of solutions for a class of fractional hybrid （p，q）-integral-difference systems[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2026,65(01):144-156.
黄程斌,周文学,陈潇.一类分数阶混合（p，q）-积分差分系统解的存在性和稳定性[J].中山大学学报(自然科学版)(中英文),2026,65(01):144-156. DOI： 10.13471/j.cnki.acta.snus.ZR20250111.

HUANG Chengbin,ZHOU Wenxue,CHEN Xiao.Existence and stability of solutions for a class of fractional hybrid （p，q）-integral-difference systems[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2026,65(01):144-156. DOI： 10.13471/j.cnki.acta.snus.ZR20250111.

摘要

研究了一类分数阶混合（

p，q

）-积分差分系统解的存在性、唯一性以及有限时间稳定性. 首先，利用Banach压缩映射原理和Krasnoselskii不动点定理分别得到了该系统解的唯一性和存在性的充分条件；进一步，验证了该系统解在特定条件下的有限时间稳定性；为验证理论结果的有效性，给出实例并通过其数值结果验证了主要结论的可行性与适用性.

Abstract

The existence， uniqueness， and finite-time stability of solutions are investigated for a class of fractional hybrid （

p，q

）-integral-difference systems. Firstly， sufficient conditions for both the uniqueness and existence of solutions are derived using Banach's contraction mapping principle and Krasnoselskii’s fixed point theorem， respectively. Subsequently， the finite-time stability of the system solutions is rigorously verified under specified conditions. To demonstrate the theoretical results， a numerical example is presented along with computational results to validate the feasibility and practical applicability of the main theoretical findings.

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references

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Existence and stability of solutions for a class of fractional hybrid （p，q）-integral-difference systems

DOI：10.13471/j.cnki.acta.snus.ZR20250111

摘要

Abstract

关键词

Keywords

references