Fuzzy fractional differential equations with the generalized Atangana-Baleanu fractional derivative

被引：8
|
作者：
Vu, Ho [1 ,2 ]
Ghanbari, Behzad [3 ,4 ]
Ngo Van Hoa [5 ,6 ]
机构：
[1] Duy Tan Univ, Inst Res & Dev, Danang 550000, Vietnam
[2] Duy Tan Univ, Fac Nat Sci, Danang 550000, Vietnam
[3] Kermanshah Univ Technol, Dept Engn Sci, Kermanshah, Iran
[4] Bahcesehir Univ, Fac Engn & Nat Sci, Dept Math, TR-34349 Istanbul, Turkey
[5] Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam
[6] Ton Duc Thang Univ, Fac Math & Stat, Ho Chi Minh City, Vietnam
来源：
FUZZY SETS AND SYSTEMS | 2022年 / 429卷
关键词：
Fuzzy fractional differential equations; The generalized Mittag-Leffler kernel; Fractional Atangana-Baleanu derivative; VALUED FUNCTIONS; CALCULUS;
D O I：
10.1016/j.fss.2020.11.017
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we introduce a generalization of Atangana-Baleanu type fractional calculus with respect to the generalized Mittag-Leffler kernel which has been named as the generalized Atangana-Baleanu (GAB) type fractional calculus. Existence and uniqueness results for the initial value problems of fuzzy differential equations involving a GAB fractional derivative in the Caputo sense are established by employing the method of successive approximation and by means of fixed point theorems. To visualize the theoretical results, some examples and numerical simulations are given. (c) 2020 Elsevier B.V. All rights reserved.
引用
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页码：1 / 27
页数：27
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