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An analytical solution for fractional oscillator in a resisting medium

Author

Listed:
  • Ismail, G.M.
  • Abdl-Rahim, H.R.
  • Abdel-Aty, A.
  • Kharabsheh, R.
  • Alharbi, W.
  • Abdel-Aty, M.

Abstract

In this paper, an analytical exact solution for the fractional differential equation of the oscillator in a resisting medium was obtained successfully via the natural transform method. The fractional derivatives were described in the Caputo sense. The results illustrated the power, efficiency, simplicity, and reliability of the proposed method.

Suggested Citation

  • Ismail, G.M. & Abdl-Rahim, H.R. & Abdel-Aty, A. & Kharabsheh, R. & Alharbi, W. & Abdel-Aty, M., 2020. "An analytical solution for fractional oscillator in a resisting medium," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    • Handle: RePEc:eee:chsofr:v:130:y:2020:i:c:s0960077919303303
    DOI: 10.1016/j.chaos.2019.109395
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    References listed on IDEAS

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    1. Hasan Bulut & Haci Mehmet Baskonus & Fethi Bin Muhammad Belgacem, 2013. "The Analytical Solution of Some Fractional Ordinary Differential Equations by the Sumudu Transform Method," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, September.
    2. Zhou, Shangbo & Li, Hua & Zhu, Zhengzhou, 2008. "Chaos control and synchronization in a fractional neuron network system," Chaos, Solitons & Fractals, Elsevier, vol. 36(4), pages 973-984.
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    Cited by:

    1. Md. Nur Alam & Imran Talib & Omar Bazighifan & Dimplekumar N. Chalishajar & Barakah Almarri, 2021. "An Analytical Technique Implemented in the Fractional Clannish Random Walker’s Parabolic Equation with Nonlinear Physical Phenomena," Mathematics, MDPI, vol. 9(8), pages 1-10, April.
    2. Owyed, Saud & Abdou, M.A. & Abdel-Aty, Abdel-Haleem & Alharbi, W. & Nekhili, Ramzi, 2020. "Numerical and approximate solutions for coupled time fractional nonlinear evolutions equations via reduced differential transform method," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    3. Alyami, Maryam Ahmed & Darwish, Mohamed Abdalla, 2020. "On asymptotic stable solutions of a quadratic Erdélyi-Kober fractional functional integral equation with linear modification of the arguments," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).

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