吉林大学学报（理学版）2025，Vol.63Issue(2)：287-296,10.DOI:10.13413/j.cnki.jdxblxb.2024214
适型分数阶微分方程解的存在唯一性与稳定性
Existence,Uniqueness and Stability of Solutions of Conformable Fractional Differential Equation
摘要
Abstract
By using Schauder fixed point theorem and Banach compression mapping principle,we studied a class of conformable fractional impulsive differential equation boundary value problems with delay,and established the existence and uniqueness theorems of the solutions.Based on this,we obtained the conclusions of Ulam-Hyers stability and Ulam-Hyers-Rassias stability.Finally,we provided an example to verify the theoretical results.关键词
适型分数阶导数/脉冲/时滞/存在唯一性/Ulam-Hyers 稳定性/Ulam-Hyers-Rassias稳定性Key words
conformable fractional derivative/impulsive/delay/existence and uniqueness/Ulam-Hyers stability/Ulam-Hyers-Rassias stability分类
数学引用本文复制引用
张鲁潮,刘锡平,贾梅,宇振盛..适型分数阶微分方程解的存在唯一性与稳定性[J].吉林大学学报（理学版）,2025,63(2):287-296,10.基金项目
国家自然科学基金(批准号:12371308 （）
12271362)和上海理工大学教师发展研究项目(批准号:CFTD2024ZD12). （批准号:CFTD2024ZD12）
