Numerical Solution of Fractional Differential Equations by using Fractional Spline Functions

Numerical Solution of Fractional Differential Equations by using Fractional Spline Functions


Faraidun K. Hamasalh 1,   Pshtiwan O. Muhammad 1


1 Faculty of Science and Science Education, School of Science, Sulaimani Univ., Sulaimani, Iraq

E-mail: faraidunsalh@gmail.com   , pshtiwansangawi@gmail.com 




Article info

Original: 28 Jan. 2015
Revised: 4 Mar. 2015
Accepted: 10 Mar. 2015
Published online:  20 Sep. 2015         





Key Words:
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.




Ċ
Kewan Omer,
Sep 20, 2015, 9:57 AM