Hyperchaotic behaviour obtained via a nonlocal operator with exponential decay and Mittag-Leffler laws

Abdon Atangana and J.F. Gómez-Aguilar

Chaos, Solitons & Fractals, 2017, vol. 102, issue C, 285-294

Abstract: The nature is very complex to model with mathematical equations. Some physical problems found in nature could follow the power law; other could follow the Mittag–Leffler law and other the exponential decay law. On the other hand one could observe in nature a physical problem that combines both, it is therefore important to provide a new fractional operator that could possibly be used to model such physical problem. In this paper, we suggest a fractional operator exponential-Mittag–Leffler kernel with two fractional orders. Some very useful properties are obtained. Numerical solutions were obtained for three examples proposed.

Keywords: Mittag-Leffler function; Exponential decay function; Two fractional orders (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (20)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:102:y:2017:i:c:p:285-294

DOI: 10.1016/j.chaos.2017.03.022

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