期刊
CHAOS SOLITONS & FRACTALS
卷 116, 期 -, 页码 121-125出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2018.09.019
关键词
Fractional operator; Atangana-Baleanu fractional derivative; Mittag-Leffler kernel; Laplace transform; Modeling problems
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.
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