REPRODUCING KERNEL HILBERT SPACE METHOD FOR SOLVING FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER

Authors

  • Samia Bushnaq King Abdullah II Faculty of Engineering - Department of Basic Sciences
  • Banan Maayah The University of Jordan - Department of Mathematics
  • Morad Ahmad King Abdullah II Faculty of Engineering - Department of Basic Sciences

Keywords:

Reproducing Kernel Hilbert Space Method (RKHSM), fractional integro-differential equations and numerical solution

Abstract

This paper presents a computational technique for solving linear and nonlinear Fredholm integro-differential equations of fractional order.  In addition, examples that illustrate the pertinent features of this method are presented, and the results of the study are discussed.  Results have revealed that the RKHSM yields e±ciently a good approximation to the exact solution.

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Published

2016-07-29

How to Cite

Bushnaq, S., Maayah, B., & Ahmad, M. (2016). REPRODUCING KERNEL HILBERT SPACE METHOD FOR SOLVING FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER. Italian Journal of Pure and Applied Mathematics, 36, 307–318. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6622

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Section

Articoli - Forum Editrice

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