Hyers-Ulam stability of Hermite fuzzy differential equations and fuzzy Mellin transform

被引：4
|
作者：
Ren, Wenjuan [1 ]
Yang, Zhanpeng [1 ]
Sun, Xian [1 ]
Qi, Min [2 ]
机构：
[1] Chinese Acad Sci, Inst Elect, Key Lab Technol Geospatial Informat Proc & Applic, Beijing 100190, Peoples R China
[2] Beijing Coll Finance & Commerce, Basic Teaching Dept, Beijing, Peoples R China
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2018年 / 35卷 / 03期
关键词：
Mellin transform method; Hermite fuzzy differential equation; H-difference; LINEAR FUNCTIONAL-EQUATION; INTEGRAL-EQUATIONS; LAPLACE TRANSFORMS; VALUED FUNCTIONS; SPACES;
D O I：
10.3233/JIFS-18523
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
In this paper, we introduce a fuzzy Mellin transform method for solving Hermite fuzzy differential equations. The fuzzy Mellin transform reduce the problem of solving a Hermite fuzzy differential equation to a problem of solving a difference equation, whose inverse transform gives the solution of the fuzzy differential equation at hands. Under some conditions, we also give some Hyers-Ulam stability result of Hermite fuzzy differential equations.
引用
收藏
页码：3721 / 3731
页数：11
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