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A Reproducing Kernel Hilbert Space Method for Solving Integro-Differential Equations of Fractional Order

Author

Listed:
  • Samia Bushnaq

    (Princess Sumaya University for Technology)

  • Shaher Momani

    (The University of Jordan)

  • Yong Zhou

    (Xiangtan University)

Abstract

In this article, we implement a relatively new analytical technique, the reproducing kernel Hilbert space method (RKHSM), for solving integro-differential equations of fractional order. The solution obtained by using the method takes the form of a convergent series with easily computable components. Two numerical examples are studied to demonstrate the accuracy of the present method. The present work shows the validity and great potential of the reproducing kernel Hilbert space method for solving linear and nonlinear integro-differential equations of fractional order.

Suggested Citation

  • Samia Bushnaq & Shaher Momani & Yong Zhou, 2013. "A Reproducing Kernel Hilbert Space Method for Solving Integro-Differential Equations of Fractional Order," Journal of Optimization Theory and Applications, Springer, vol. 156(1), pages 96-105, January.
    • Handle: RePEc:spr:joptap:v:156:y:2013:i:1:d:10.1007_s10957-012-0207-2
    DOI: 10.1007/s10957-012-0207-2
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    Cited by:

    1. Taher S. Hassan & Ismoil Odinaev & Rasool Shah & Wajaree Weera, 2022. "Dynamical Analysis of Fractional Integro-Differential Equations," Mathematics, MDPI, vol. 10(12), pages 1-13, June.

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