Ulam type stability for first-order linear and nonlinear impulsive fuzzy differential equations

被引：5
|
作者：
Liu, Rui [1 ]
Feckan, Michal [2 ,3 ]
Wang, JinRong [1 ,4 ]
O'Regan, Donal [5 ]
机构：
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
[2] Comenius Univ, Dept Math Anal & Numer Math, Fac Math Phys & Informat, Bratislava, Slovakia
[3] Slovak Acad Sci, Math Inst, Bratislava, Slovakia
[4] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
[5] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland
来源：
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2022年 / 99卷 / 06期
基金：
中国国家自然科学基金;
关键词：
(c1)-differentiable and (c2)-differentiable solutions; H-difference; generalized differentiability; Ulam type stability; direct method;
D O I：
10.1080/00207160.2021.1967940
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper gives a number of Ulam type stability results of first-order linear and first-order nonlinear impulsive fuzzy differential equations in different cases by applying an appropriate inequality and the direct analysis method. First, the Ulam type stability results of linear impulsive fuzzy differentiable equations under a<0, (c1)-differentiable are given. Second, the Ulam type stability results of first-order nonlinear impulsive fuzzy differentiable equations under a<0, (c1)-differentiable and a<0, (c2)-differentiable are presented. Finally, examples are provided to illustrate our results. Our results transfer the corresponding results for impulsive ordinary differential equations to impulsive fuzzy ordinary differential equations.
引用
收藏
页码：1281 / 1303
页数：23
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