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An Efficient Numerical Algorithm for Solving Fractional Higher‐Order Nonlinear Integrodifferential Equations

Author

Listed:
  • Muhammed I. Syam
  • Qasem M. Al-Mdallal
  • M. Naim Anwar

Abstract

This paper is devoted to both theoretical and numerical study of boundary value problems for higher‐order nonlinear fractional integrodifferential equations. Existence and uniqueness results for the considered problem are provided and proved. The numerical method of solution for the problem is based on a conjugate collocation and spline approach combined with shooting method. Some numerical examples are discussed to demonstrate the efficiency and the accuracy of the proposed algorithm.

Suggested Citation

  • Muhammed I. Syam & Qasem M. Al-Mdallal & M. Naim Anwar, 2015. "An Efficient Numerical Algorithm for Solving Fractional Higher‐Order Nonlinear Integrodifferential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:616438
    DOI: 10.1155/2015/616438
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    References listed on IDEAS

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    1. Arikoglu, Aytac & Ozkol, Ibrahim, 2009. "Solution of fractional integro-differential equations by using fractional differential transform method," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 521-529.
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