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

Author

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  • 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, Hindawi, vol. 2015, pages 1-9, November.
    • Handle: RePEc:hin:jnlaaa:616438
    DOI: 10.1155/2015/616438
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