Banach空间中分数阶脉冲积-微分方程的e指数型Ulam-Hyers稳定性  

Exp-Type Ulam-Hyers Stability of Fractional Impulsive Integro-Differential Equations in Banach Spaces

作　　者：赵彦霞 杨和 ZHAO Yanxia;YANG He(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《吉林大学学报（理学版）》2020年第5期1055-1065,共11页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11701457).

摘　　要：用Krasnoselskii不动点定理和Gronwall不等式,讨论Banach空间中分数阶脉冲积-微分方程解的存在性和唯一性问题,得到了其解的e指数型Ulam-Hyers稳定性,并用实例说明所得结论的适用性.By using Krasnoselskii’s fixed point theorem and Gronwall inequal ity,we discussed the existence and uniqueness of solutions for fractional impulsive integro-differential equations,and obtained the exp-type Ulam-Hyers stability of these solutions.The applicability of the obtained conclusions was illustrated by an example.

关 键 词：Caputo分数阶积-微分方程 CAUCHY问题 存在性 唯一性 e指数型Ulam-Hyers稳定性 

分 类 号：O175.15[理学—数学]