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
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)