Efficient numerical simulation of fractional-order Van der Pol impulsive system

Z. Sharifi (), B. P. Moghaddam and M. Ilie ()
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Z. Sharifi: Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran
B. P. Moghaddam: Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran
M. Ilie: ��Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran

International Journal of Modern Physics C (IJMPC), 2024, vol. 35, issue 03, 1-15

Abstract: This paper presents an innovative and efficient method for solving the fractional-order Van der Pol impulsive system. In particular, the proposed scheme utilizes finite difference techniques for approximating fractional integrals, and its efficacy is compared to existing integration methods presented in the literature. Moreover, the proposed approach is applied to fractional impulsive systems, specifically the Fractional Van der Pol system with impulse behavior. The results demonstrate the effectiveness of the impulsive treatment effects for the system under consideration. In general, this study offers an insightful contribution to the field of fractional calculus, while providing a practical and efficient solution for solving impulsive systems.

Keywords: Fractional calculus; fractional Van der Pol impulsive system; finite difference technique; impulsive treatment effects (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0129183124500360

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