Analysis of an El Nino-Southern Oscillation model with a new fractional derivative

Jagdev Singh, Devendra Kumar and Juan J. Nieto

Chaos, Solitons & Fractals, 2017, vol. 99, issue C, 109-115

Abstract: In this article, we analyze the El Nino–Southern Oscillation (ENSO) model in the global climate with a new fractional derivative recently proposed by Caputo and Fabrizio. We obtain the solution by using the iterative method. By using the fixed-point theorem the existence of the solution is discussed. A deeply analysis of the uniqueness of the solution is also discussed. And to observe the effect of the fractional order we presented some numerical simulations.

Keywords: Atmosphere-ocean; El Nino-Southern Oscillation; Caputo–Fabrizio fractional derivative; Fixed point theorem; Uniqueness (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (7)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:99:y:2017:i:c:p:109-115

DOI: 10.1016/j.chaos.2017.03.058

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