Fuzzy fractional integral equations involving the kernel ψ-functions

被引：3
作者：
Truong Vinh An [1 ]
Ngo Van Hoa [2 ,3 ]
机构：
[1] Univ Technol & Educ Ho Chi Minh City, Fac Appl Sci, Ho Chi Minh City, Vietnam
[2] Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam
[3] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2020年 / 38卷 / 04期
关键词：
delta-Ulam-Hyers-Rassias; kernel psi-functions; Fuzzy fractional integral equations; DIFFERENTIAL-EQUATIONS; STABILITY;
D O I：
10.3233/JIFS-191743
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 work, a new class of generalized fractional integral equations involving the kernel psi-function in the fuzzy setting is introduced. With this problem, we can recover a wide class of fractional fuzzy integral equations by choosing the kernel psi-function. In this sense, we provide sufficient conditions for the existence, uniqueness of solutions and delta-Ulam-Hyers-Rassias stability of the given problems. Some examples are given to illustrate our main results.
引用
收藏
页码：5127 / 5141
页数：15
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