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Solving the Fractional Rosenau-Hyman Equation via Variational Iteration Method and Homotopy Perturbation Method

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  • R. Yulita Molliq
  • M. S. M. Noorani

Abstract

In this study, fractional Rosenau-Hynam equations is considered. We implement relatively new analytical techniques, the variational iteration method and the homotopy perturbation method, for solving this equation. The fractional derivatives are described in the Caputo sense. The two methods in applied mathematics can be used as alternative methods for obtaining analytic and approximate solutions for fractional Rosenau-Hynam equations. In these schemes, the solution takes the form of a convergent series with easily computable components. The present methods perform extremely well in terms of efficiency and simplicity.

Suggested Citation

  • R. Yulita Molliq & M. S. M. Noorani, 2012. "Solving the Fractional Rosenau-Hyman Equation via Variational Iteration Method and Homotopy Perturbation Method," International Journal of Differential Equations, Hindawi, vol. 2012, pages 1-14, December.
    • Handle: RePEc:hin:jnijde:472030
    DOI: 10.1155/2012/472030
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    Cited by:

    1. Hussam Aljarrah & Mohammad Alaroud & Anuar Ishak & Maslina Darus, 2022. "Approximate Solution of Nonlinear Time-Fractional PDEs by Laplace Residual Power Series Method," Mathematics, MDPI, vol. 10(12), pages 1-16, June.
    2. Khirsariya, Sagar R. & Rao, Snehal B. & Chauhan, Jignesh P., 2023. "A novel hybrid technique to obtain the solution of generalized fractional-order differential equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 205(C), pages 272-290.
    3. Yusuf, Abdullahi & Inc, Mustafa & Isa Aliyu, Aliyu & Baleanu, Dumitru, 2018. "Efficiency of the new fractional derivative with nonsingular Mittag-Leffler kernel to some nonlinear partial differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 220-226.

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