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Numerical and approximate solutions for coupled time fractional nonlinear evolutions equations via reduced differential transform method

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  • Owyed, Saud
  • Abdou, M.A.
  • Abdel-Aty, Abdel-Haleem
  • Alharbi, W.
  • Nekhili, Ramzi

Abstract

We construct an explicit and approximate solutions of fractional time-nonlinear fractional equations by using a new approach, namely, the reduced differential transform (RDTM) method. As a special cases, two models of fractional-time derivative of order α are used to find the solutions. The effect of the values of the parameter α on the behaviour of reduced differential transform (RDTM) method is investigated. The efficiency of the suggested algorithm is tested by using some numerical examples.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:131:y:2020:i:c:s0960077919304205
    DOI: 10.1016/j.chaos.2019.109474
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    References listed on IDEAS

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    1. Abdon Atangana & Aydin Secer, 2013. "The Time-Fractional Coupled-Korteweg-de-Vries Equations," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, March.
    2. 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).
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    Cited by:

    1. Fang, Xing & Qiao, Leijie & Zhang, Fengyang & Sun, Fuming, 2023. "Explore deep network for a class of fractional partial differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    2. Günerhan, Hatıra & Dutta, Hemen & Dokuyucu, Mustafa Ali & Adel, Waleed, 2020. "Analysis of a fractional HIV model with Caputo and constant proportional Caputo operators," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    3. Liaqat, Muhammad Imran & Akgül, Ali, 2022. "A novel approach for solving linear and nonlinear time-fractional Schrödinger equations," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).

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