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具有周期边值条件的Caputo型分数阶模糊时滞微分方程解的Ulam-Hyers稳定性

李榕 叶国菊 刘尉

数学杂志2025,Vol.45Issue(5):435-444,10.
数学杂志2025,Vol.45Issue(5):435-444,10.

具有周期边值条件的Caputo型分数阶模糊时滞微分方程解的Ulam-Hyers稳定性

ULAM-HYERS STABILITY OF SOLUTIONS TO CAPUTO FRACTIONAL FUZZY DELAY DIFFERENTIAL EQUATIONS WITH PERIODIC BOUNDARY CONDITIONS

李榕 1叶国菊 1刘尉1

作者信息

  • 1. 河海大学数学学院,江苏南京 210098
  • 折叠

摘要

Abstract

This paper mainly studies a class of Caputo fractional fuzzy delay differential equations with periodic boundary conditions under granular differentiability.Through the Banach compression mapping principle,we have proven the existence and uniqueness of the solution to the equation,and further proved the Ulam-Hyers stability of the solution by using Gronwall inequality.

关键词

分数阶模糊微分方程/时滞/Ulam-Hyers稳定性/周期边值问题/粒度可微性

Key words

fractional fuzzy differential equation/delay/Ulam-Hyers stability/boundary value problem/granular differentiability

分类

数理科学

引用本文复制引用

李榕,叶国菊,刘尉..具有周期边值条件的Caputo型分数阶模糊时滞微分方程解的Ulam-Hyers稳定性[J].数学杂志,2025,45(5):435-444,10.

基金项目

江苏省研究生科研与实践创新计划项目(KYCX23_0668). (KYCX23_0668)

数学杂志

0255-7797

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