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

Author

Listed:
  • 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, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:103016
    DOI: 10.1155/2014/103016
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    Cited by:

    1. Yu-Lan Wang & Hao Yu & Fu-Gui Tan & Shanshan Qu, 2014. "Solving a Class of Singularly Perturbed Partial Differential Equation by Using the Perturbation Method and Reproducing Kernel Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Banan Maayah & Samia Bushnaq & Shaher Momani & Omar Abu Arqub, 2014. "Iterative Multistep Reproducing Kernel Hilbert Space Method for Solving Strongly Nonlinear Oscillators," Advances in Mathematical Physics, John Wiley & Sons, vol. 2014(1).
    3. Muhammad Altaf Khan & S. F. Saddiq & Saeed Islam & Ilyas Khan & Dennis Ling Chuan Ching, 2014. "Epidemic Model of Leptospirosis Containing Fractional Order," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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