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

Erdal Bas and Ramazan Ozarslan

Chaos, Solitons & Fractals, 2018, vol. 116, issue C, 121-125

Abstract: 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.

Keywords: Fractional operator; Atangana–Baleanu fractional derivative; Mittag–Leffler kernel; Laplace transform; Modeling problems. (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:116:y:2018:i:c:p:121-125

DOI: 10.1016/j.chaos.2018.09.019

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