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Application of Homotopy Perturbation and Variational Iteration Methods for Fredholm Integrodifferential Equation of Fractional Order

Author

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  • Asma Ali Elbeleze
  • Adem Kiliçman
  • Bachok M. Taib

Abstract

This paper presents the application of homotopy perturbation and variational iteration methods as numerical methods for Fredholm integrodifferential equation of fractional order with initial‐boundary conditions. The fractional derivatives are described in Caputo sense. Some illustrative examples are presented.

Suggested Citation

  • Asma Ali Elbeleze & Adem Kiliçman & Bachok M. Taib, 2012. "Application of Homotopy Perturbation and Variational Iteration Methods for Fredholm Integrodifferential Equation of Fractional Order," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:763139
    DOI: 10.1155/2012/763139
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    References listed on IDEAS

    as
    1. Ji-Huan He, 2012. "Homotopy Perturbation Method with an Auxiliary Term," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-7, February.
    2. Abdelouahab Kadem & Adem Kilicman, 2012. "The Approximate Solution of Fractional Fredholm Integrodifferential Equations by Variational Iteration and Homotopy Perturbation Methods," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-10, May.
    3. Prem K. Kythe & Pratap Puri, 2002. "Computational Methods for Linear Integral Equations," Springer Books, Springer, number 978-1-4612-0101-4, October.
    4. Abdelouahab Kadem & Adem Kilicman, 2012. "The Approximate Solution of Fractional Fredholm Integrodifferential Equations by Variational Iteration and Homotopy Perturbation Methods," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    5. Ji-Huan He, 2012. "Homotopy Perturbation Method with an Auxiliary Term," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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    Cited by:

    1. Abdon Atangana & Adem Kılıçman, 2013. "Analytical Solutions of Boundary Values Problem of 2D and 3D Poisson and Biharmonic Equations by Homotopy Decomposition Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

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