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Reproducing Kernel Method for Solving Nonlinear Fractional Fredholm Integrodifferential Equation

Author

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  • Bothayna S. H. Kashkari
  • Muhammed I. Syam

Abstract

This article is devoted to both theoretical and numerical studies of nonlinear fractional Fredholm integrodifferential equations. In this paper, we implement the reproducing kernel method (RKM) to approximate the solution of nonlinear fractional Fredholm integrodifferential equations. Numerical results demonstrate the accuracy of the present algorithm. In addition, we prove the existence of the solution of the nonlinear fractional Fredholm integrodifferential equation. Uniformly convergence of the approximate solution produced by the RKM to the exact solution is proven.

Suggested Citation

  • Bothayna S. H. Kashkari & Muhammed I. Syam, 2018. "Reproducing Kernel Method for Solving Nonlinear Fractional Fredholm Integrodifferential Equation," Complexity, Hindawi, vol. 2018, pages 1-7, December.
    • Handle: RePEc:hin:complx:2304858
    DOI: 10.1155/2018/2304858
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    References listed on IDEAS

    as
    1. Syam, Muhammed I., 2007. "The modified Broyden-variational method for solving nonlinear elliptic differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 392-404.
    2. Attili, Basem S. & Syam, Muhammed I., 2008. "Efficient shooting method for solving two point boundary value problems," Chaos, Solitons & Fractals, Elsevier, vol. 35(5), pages 895-903.
    3. El-Sayed, M.F. & Syam, M.I., 2007. "Numerical study for the electrified instability of viscoelastic cylindrical dielectric fluid film surrounded by a conducting gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(2), pages 381-400.
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