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A Reproducing Kernel Hilbert Space Method for Solving Systems of Fractional Integrodifferential Equations

Author

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  • Samia Bushnaq
  • Banan Maayah
  • Shaher Momani
  • Ahmed Alsaedi

Abstract

We present a new version of the reproducing kernel Hilbert space method (RKHSM) for the solution of systems of fractional integrodifferential equations. In this approach, the solution is obtained as a convergent series with easily computable components. Several illustrative examples are given to demonstrate the effectiveness of the present method. The method described in this paper is expected to be further employed to solve similar nonlinear problems in fractional calculus.

Suggested Citation

  • Samia Bushnaq & Banan Maayah & Shaher Momani & Ahmed Alsaedi, 2014. "A Reproducing Kernel Hilbert Space Method for Solving Systems of Fractional Integrodifferential Equations," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, March.
  • Handle: RePEc:hin:jnlaaa:103016
    DOI: 10.1155/2014/103016
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    Cited by:

    1. Attia, Nourhane & Akgül, Ali & Seba, Djamila & Nour, Abdelkader, 2020. "An efficient numerical technique for a biological population model of fractional order," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    2. Alsaedi, Ahmed & Yousef, Feras & Bushnaq, Samia & Momani, Shaher, 2019. "New styles of periodic solutions of the classical six-body problem," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 159(C), pages 183-196.

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