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ATANGANA–SEDA NUMERICAL SCHEME FOR LABYRINTH ATTRACTOR WITH NEW DIFFERENTIAL AND INTEGRAL OPERATORS

Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, South Africa

Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan

E-mail Address: AtanganaA@ufs.ac.za

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and

SEDA İĞRET ARAZ

Department of Mathematics Education, Siirt University, Turkey

E-mail Address: sedaaraz@siirt.edu.tr

Corresponding author.

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https://doi.org/10.1142/S0218348X20400447Cited by:14 (Source: Crossref)

This article is part of the issue:

Special Issue on Fractal and Fractional with Applications to Nature
Guest Editors: Abdon Atangana, Emile Franc Goufo Ndongmo, José Francisco Gómez Aguilar, Muhammad Altaf Khan and Ilknur Koca

Abstract

In this paper, we present a new numerical scheme for a model involving new mathematical concepts that are of great importance for interpreting and examining real world problems. Firstly, we handle a Labyrinth chaotic problem with fractional operators which include exponential decay, power-law and Mittag-Leffler kernel. Moreover, this problem is solved via Atangana-Seda numerical scheme which is based on Newton polynomial. The accuracy and efficiency of the method can be easily seen with numerical simulations.

Keywords:

References

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Vol. 28, No. 08

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History

Received 19 December 2019

Accepted 6 March 2020

Published: September 18, 2020

Information

This is an Open Access article in the “Special Issue on Fractal and Fractional with Applications to Nature” published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC BY) License which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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ATANGANA–SEDA NUMERICAL SCHEME FOR LABYRINTH ATTRACTOR WITH NEW DIFFERENTIAL AND INTEGRAL OPERATORS

Abstract

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