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A HIGH ORDER NUMERICAL SCHEME FOR FRACTAL-FRACTIONAL LASER SYSTEM WITH CHAOS STUDY

SARA S. ALZAID

Department of Mathematics, College of Science, King Saud University, P. O. Box 1142, Riyadh 11989, Saudi Arabia

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R. P. CHAUHAN

Department of Mathematics, National Institute of Technology, Jamshedpur, 831014 Jharkhand, India

E-mail Address: rampratapc23@gmail.com

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SUNIL KUMAR

Department of Mathematics, College of Science, King Saud University, P. O. Box 1142, Riyadh 11989, Saudi Arabia

Department of Mathematics, National Institute of Technology, Jamshedpur, 831014 Jharkhand, India

Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, UAE

Department of Mathematics, University Centre for Research and Development, Chandigarh University, Gharuan, Mohali, Punjab, India

E-mail Address: skumar.math@nitjsr.ac.in

Corresponding author.

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, and

BADR SAAD T. ALKAHTANI

Department of Mathematics, College of Science, King Saud University, P. O. Box 1142, Riyadh 11989, Saudi Arabia

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https://doi.org/10.1142/S0218348X22401831Cited by:4 (Source: Crossref)

This article is part of the issue:

Special Issue on Fractal AI-Based Analyses and Applications to Complex Systems: Part III
Lead Guest Editors: Yeliz Karaca & Dumitru Baleanu
Guest Editors: Majaz Moonis, Yu-Dong Zhang & Osvaldo Gervasi

Abstract

The primary goal of this research is to look into the dynamical behavior of a fractional and fractal-fractional (FF) order laser chaotic model. The model is first considered with Caputo’s fractional derivative. An iterative technique based on the Laplace transform and its inverse aspect is used to achieve a particular solution for the fractional model. The existence of a unique solution is examined for the fractional laser chaotic model. Next, the laser chaotic model is addressed with a FF approach in the Caputo sense. The approximate results are achieved for the proposed fractional and FF models by using the Atangana–Seda numerical methods. The dynamical structures are plotted at various values of fractional and FF parameters.

Keywords:

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Vol. 30, No. 05

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History

Received 19 December 2021

Accepted 25 April 2022

Published: July 18, 2022

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This is an Open Access article in the “Special Issue Section on Fractal AI-Based Analyses and Applications to Complex Systems: Part III”, edited by Yeliz Karaca (University of Massachusetts Medical School, USA), Dumitru Baleanu (Cankaya University, Turkey), Majaz Moonis (University of Massachusetts Medical School, USA), Yu-Dong Zhang (University of Leicester, UK) & Osvaldo Gervasi (Perugia University, Italy) published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 (CC-BY-NC-ND) License which permits use, distribution and reproduction in any medium, provided the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.

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A HIGH ORDER NUMERICAL SCHEME FOR FRACTAL-FRACTIONAL LASER SYSTEM WITH CHAOS STUDY

Abstract

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