SOLVING FUZZY FRACTIONAL EVOLUTION EQUATIONS WITH DELAY AND NONLOCAL CONDITIONS

被引:1
作者
Zhang, Xuping [1 ]
O'Regan, Donal [2 ]
机构
[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Peoples R China
[2] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland
来源
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2023年 / 13卷 / 02期
基金
中国国家自然科学基金;
关键词
Fuzzy fractional evolution equations; delay; nonlocal delay initial condition; fuzzy mild solution; fuzzy strongly continuous semigroup; INTERVAL-VALUED FUNCTIONS; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS;
D O I
10.11948/20220269
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we prove existence and uniqueness of two kinds of fuzzy mild solutions for fuzzy fractional evolution equations with delay and nonlocal conditions under Caputo gH differentiability. In particular, the strong restriction on the constants in the condition of Lipschitzian is com-pletely removed when the nonlocal term g 0. An example is provided to illustrate our results.
引用
收藏
页码:1000 / 1013
页数:14
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