Analytical investigation of the coupled fractional models for immersed spheres and oscillatory pendulums

Homan Emadifar, Kamsing Nonlaopon, Shoaib Muhammad, Rahmatullah Ibrahim Nuruddeen, Hwajoon Kim and Abdulaziz Garba Ahmad

Chaos, Solitons & Fractals, 2023, vol. 171, issue C

Abstract: In this research, coupled fractional models for immersed spheres and oscillatory pendulums have been proposed. We deploy the Laplace transform method together with the negative binomial formula to analytically investigate the dynamics of the systems. Approximate closed-form solutions are successfully revealed with the help of the convolution theorem. Additionally, we graphically illustrate the variational effects of the fractional-orders and the coupling parameters on the paired fields.

Keywords: Fractional coupling; Dynamics model; Analytical approach; Laplace transform; Negative binomial formula (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:171:y:2023:i:c:s0960077923003624

DOI: 10.1016/j.chaos.2023.113461

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