ON CONVERGENCE THEOREMS FOR THE GENERALIZED FUZZY HENSTOCK INTEGRALS

被引：0
|
作者：
Pan, Xianbing [1 ,2 ]
Shao, Yabin [3 ]
Zhu, Xueqin [3 ]
机构：
[1] Chongqing Coll Mobile Telecommun, Coll Digital Econ & Informat Management, Chongqing 401520, Peoples R China
[2] Chongqing Key Lab Publ Big Data Secur Technol, Chongqing 401420, Peoples R China
[3] Chongqing Univ Posts & Telecommun, Sch Sci, Chongqing 400065, Peoples R China
来源：
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS | 2024年 / 25卷 / 05期
关键词：
Fuzzy number; generalized fuzzy Henstock integrals; convergence the- orems; generalized fuzzy differential equations; DIFFERENTIAL-EQUATIONS; SET;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the paper, the concept of weakly uniformly fuzzy Henstock integrability and some convergence theorems of generalized fuzzy Henstock integral are obtain on a infinite interval. Especially, the strong fuzzy Henstock integrable sequence of function on infinite interval can termwise integration if and only if the weak uniformly fuzzy Henstock integrability. As the application, the existence for global solutions of generalized fuzzy differential equations are discussed. Finally, several numerical examples are provide, which can visually demonstrate practical applications.
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页码：1261 / 1273
页数：13
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