Numerical solution of fractional dynamical systems with impulsive effects

B. Parsa Moghaddam, A. Dabiri (), Z. S. Mostaghim () and Z. Moniri ()
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B. Parsa Moghaddam: Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran
A. Dabiri: ��Department of Mechanical and Mechatronics, Southern Illinois University Edwardsville, USA
Z. S. Mostaghim: Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran
Z. Moniri: ��Mathematics Department, University of Mazandaran, Babolsar, Iran

International Journal of Modern Physics C (IJMPC), 2023, vol. 34, issue 01, 1-15

Abstract: This paper proposes an effective numerical scheme for solving impulsive fractional differential equations. For this purpose, Hermite interpolation is used to approximate fractional-order integrals. The proposed methods convergence analysis is studied in detail by bounding the approximation error. Finally, the application and performance of the presented method are illustrated in two practical examples, including the impulsive control of the family of Lorenz systems, and the obtained results are compared with an existing method.

Keywords: Fractional derivatives and integrals; fractional unified chaotic system; fractional impulsive system; Hermite interpolation (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0129183123500134

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