DOI LINK: https://doi.org/10.59671/VGIJW

Paper ID:VGIJW

Volume:48

Issue:11

Title:Numerical method for chaotic system in sense of Caputo-Fabrizio operator with exponential decay kernel

Abstract:In this paper, we present a novel numerical scheme for a model involving novel mathematical concepts of significant importance for interpreting and examining real-world problems. This paper presents a numerical method for chaotic problems. Using differential and integral operators in the sense of Caputo-Fabrizio, we investigated the chaotic system of mathematical equations able to capture chaotic behaviour. Solutions are obtained for the fractional-order chaotic model using a fractional operator with a non-singular kernel. Uniqueness and boundedness for solution are proved through fixed point theory. Finally, we applied a numerical power series method to solve the proposed fractional model. Due to the high non-linearity of our problem, we used a suitable numerical scheme to solve this system of equations numerically.

Keywords:Fractional Derivatives, Nonlinear Equations, Simulation, Numerical Results,\n Iterative Method, Time Varying Control System, Lyapunov Functions

Authors:M. Y. Youssif, Yagoub. A. S. Arko, O.A.I.Elziber, M. A. Osman, S. Saber

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