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

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

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.

Suggested Citation

  • Emadifar, Homan & Nonlaopon, Kamsing & Muhammad, Shoaib & Nuruddeen, Rahmatullah Ibrahim & Kim, Hwajoon & Ahmad, Abdulaziz Garba, 2023. "Analytical investigation of the coupled fractional models for immersed spheres and oscillatory pendulums," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    • Handle: RePEc:eee:chsofr:v:171:y:2023:i:c:s0960077923003624
    DOI: 10.1016/j.chaos.2023.113461
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    References listed on IDEAS

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    1. Lokenath Debnath, 2003. "Recent applications of fractional calculus to science and engineering," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-30, January.
    2. Ali, Khalid K. & Nuruddeen, R.I. & Raslan, K.R., 2018. "New structures for the space-time fractional simplified MCH and SRLW equations," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 304-309.
    3. Singh, Jagdev & Kumar, Devendra & Hammouch, Zakia & Atangana, Abdon, 2018. "A fractional epidemiological model for computer viruses pertaining to a new fractional derivative," Applied Mathematics and Computation, Elsevier, vol. 316(C), pages 504-515.
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