A numerical approach to the coupled atmospheric ocean model using a fractional operator

Title

A numerical approach to the coupled atmospheric ocean model using a fractional operator

Creator

Veeresha P.

Description

In the present framework, the coupled mathematical model of the atmosphere-ocean system called El Nino-Southern Oscillation (ENSO) is analyzed with the aid Adams-Bashforth numerical scheme. The fundamental aim of the present work is to demonstrate the chaotic behaviour of the coupled fractional-order system. The existence and uniqueness are demonstrated within the frame of the fixed-point hypothesis with the CaputoFabrizio fractional operator. Moreover, we captured the chaotic behaviour for the attained results with diverse order. The effect of the perturbation parameter and others associated with the model is captured. The obtained results elucidate that, the present study helps to understand the importance of fractional order and also initial conditions for the nonlinear models to analyze and capture the corresponding consequence of the fractional-order dynamical systems. 2021 by the authors.

Source

Mathematical Modelling and Numerical Simulation with Applications, Vol-1, No. 1, pp. 1-10.

Date

2021-01-01

Publisher

Mehmet Yavuz

Subject

CaputoFabrizio derivative; El Nino-Southern oscillation model; fixed point theorem

Coverage

Veeresha P., Center for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560029, India

Rights

All Open Access; Bronze Open Access

Relation

ISSN: 27918564

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.53391/mmnsa.2021.01.001

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