Numerical Solution of Fractional Differential Equations by using Fractional Spline Functions.

Authors

  • Faraidun K. HamaSalh Faculty of Science and Science Education, School of Science, University of Sulaimani, Kurdistan Region, Iraq. Author
  • Pshtiwan O. Muhammad Faculty of Science and Science Education, School of Science, University of Sulaimani, Kurdistan Region, Iraq. Author

DOI:

https://doi.org/10.17656/jzs.10404

Keywords:

Fractional integral and derivative, Caputo Derivative, Taylor’s expansion, Error bound, Spline functions

Abstract

In this paper, we consider a new suitable lacunary fractional interpolation with the idea of the spline function of polynomial form, and the method applied to solve linear fractional differential equations. The results obtained are in good agreement with the exact analytical solutions and the numerical results presented by two examples, results also show that the technique introduced here is robust and easy to apply.

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Published

2015-03-10

How to Cite

Numerical Solution of Fractional Differential Equations by using Fractional Spline Functions. (2015). Journal of Zankoy Sulaimani - Part A, 17(3), 97-110. https://doi.org/10.17656/jzs.10404