Existence results for extremal solutions of interval fractional functional integro-differential equations

被引：33
|
作者：
Hoa Van Ngo [1 ,2 ]
机构：
[1] Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam
[2] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam
来源：
FUZZY SETS AND SYSTEMS | 2018年 / 347卷
关键词：
Extremal solution; Fractional interval-valued differential equation; Fractional interval-valued functional integro-differential equation; Method of upper and lower solutions; DIFFERENTIAL-EQUATIONS; VALUED FUNCTIONS; HUKUHARA DIFFERENTIABILITY; INTEGRAL-EQUATIONS; CALCULUS; UNCERTAINTY;
D O I：
10.1016/j.fss.2017.09.006
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this study, we introduce interval fractional functional integro-differential equations (IFFIDEs) under the Caputo generalized Hukuhara fractional differentiability. We establish some necessary comparison results and use the monotone iterative technique combined with the method of upper and lower solutions to investigate the existence of extremal solutions for IFFIDEs. An example is presented to illustrate the results. (C) 2017 Elsevier B.V. All rights reserved.
引用
收藏
页码：29 / 53
页数：25
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