Real world applications of fractional models by Atangana-Baleanu fractional derivative

被引：97
|
作者：
Bas, Erdal [1 ]
Ozarslan, Ramazan [1 ]
机构：
[1] Firat Univ, Dept Math, Elazig, Turkey
来源：
CHAOS SOLITONS & FRACTALS | 2018年 / 116卷
关键词：
Fractional operator; Atangana-Baleanu fractional derivative; Mittag-Leffler kernel; Laplace transform; Modeling problems; LAW;
D O I：
10.1016/j.chaos.2018.09.019
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this study, some modeling problems, Newton,'s law of cooling, population growth, logistic equation, blood alcohol model, are considered by Atangana-Baleanu fractional derivative. Analytical solutions are obtained by Laplace transform and results are simulated by figures under different orders. Atangana-Baleanu fractional derivative gives more precise results to the derivative with exponential kernel because of having fractional order, and so it is a generalized version of the derivative with exponential kernel. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：121 / 125
页数：5
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