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Numerical solution of a multi-wing chaotic system with piecewise differential operators

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Title: Numerical solution of a multi-wing chaotic system with piecewise differential operators

Authors: Mehmet Akif Cetin, Selahattin Genc, Metin Araz

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2024

Volume: 20

Issue: 1

Language: English

Keywords: numerical solutionmulti-wing chaotic systempiecewise differential operatorsfractional differential operators

Categories
Chaotic Systems (2) Numerical Analysis (431) Applied Mathematics (727) Differential Equations (206) Fractional Calculus (72)

Abstract

In this study, a multi-wing chaotic system with classical derivative has been studied. The conditions under which the existence and uniqueness of the solution of this chaotic system exist are examined. Afterwards, this chaotic system has been modified using fractional differential operators, and in this case the behavior of the multi-wing chaotic system has been investigated. Moreover, the newly introduced piecewise differential operators is included in such a chaotic system and the piecewise chaotic system is solved by using Newton polynomial approach. The numerical simulations of piecewise chaotic system are performed for fractional order.

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