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Nonlinear Fractional Jaulent-Miodek and Whitham-Broer-Kaup Equations within Sumudu Transform

Author

Listed:
  • Abdon Atangana
  • Dumitru Baleanu

Abstract

We solve the system of nonlinear fractional Jaulent-Miodek and Whitham-Broer-Kaup equations via the Sumudu transform homotopy method (STHPM). The method is easy to apply, accurate, and reliable.

Suggested Citation

  • Abdon Atangana & Dumitru Baleanu, 2013. "Nonlinear Fractional Jaulent-Miodek and Whitham-Broer-Kaup Equations within Sumudu Transform," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, May.
    • Handle: RePEc:hin:jnlaaa:160681
    DOI: 10.1155/2013/160681
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    Citations

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    Cited by:

    1. Iqbal, Muhammad S. & Seadawy, Aly R. & Baber, Muhammad Z. & Qasim, Muhammad, 2022. "Application of modified exponential rational function method to Jaulent–Miodek system leading to exact classical solutions," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    2. F. Ghomanjani & A. V. Kamyad & A. Kılıçman, 2013. "Bezier Curves Method for Fourth‐Order Integrodifferential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. Abdon Atangana & Aden Ahmed & Suares Clovis Oukouomi Noutchie, 2014. "On the Hamilton‐Jacobi‐Bellman Equation by the Homotopy Perturbation Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Morgunov, V.I. (Моргунов, В.И.), 2016. "The Liquidity Management of the Banking Sector and the Short-Term Money Market Interest Rates [Управление Ликвидностью Банковского Сектора И Краткосрочной Процентной Ставкой Денежного Рынка]," Working Papers 21311, Russian Presidential Academy of National Economy and Public Administration.
    5. Ali Ahmadian & Norazak Senu & Farhad Larki & Soheil Salahshour & Mohamed Suleiman & Md. Shabiul Islam, 2013. "Numerical Solution of Fuzzy Fractional Pharmacokinetics Model Arising from Drug Assimilation into the Bloodstream," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    6. Abdon Atangana & Necdet Bildik & S. C. Oukouomi Noutchie, 2014. "New Iteration Methods for Time‐Fractional Modified Nonlinear Kawahara Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    7. Sahoo, S. & Ray, S. Saha, 2017. "Invariant analysis with conservation laws for the time fractional Drinfeld–Sokolov–Satsuma–Hirota equations," Chaos, Solitons & Fractals, Elsevier, vol. 104(C), pages 725-733.
    8. Jinxing Liu & Muhammad Nadeem & Mustafa Habib & Shazia Karim & Harun Or Roshid, 2022. "Numerical Investigation of the Nonlinear Coupled Fractional Massive Thirring Equation Using Two‐Scale Approach," Complexity, John Wiley & Sons, vol. 2022(1).
    9. Hasan, Shatha & Al-Smadi, Mohammed & El-Ajou, Ahmad & Momani, Shaher & Hadid, Samir & Al-Zhour, Zeyad, 2021. "Numerical approach in the Hilbert space to solve a fuzzy Atangana-Baleanu fractional hybrid system," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).

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