Analysis of Fractional Splines Interpolation and Optimal Error Bounds

Faraidun K. Hamasalh^1, and Pshtiwan O. Muhammad¹

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

Cite this paper:
Faraidun K. Hamasalh and Pshtiwan O. Muhammad. Analysis of Fractional Splines Interpolation and Optimal Error Bounds. American Journal of Numerical Analysis. 2015; 3(1):30-35. doi: 10.12691/ajna-3-1-5

Abstract

This paper presents a formulation and a study of three interpolatory fractional splines these are in the class of mα, m = 2, 4, 6, α = 0:5. We extend fractional splines function with uniform knots to approximate the solution of fractional equations. The developed of spline method is to analysis convergence fractional order derivatives and estimating error bounds. We propose spline fractional method to solve fractional differentiation equations. Numerical example is given to illustrate the applicability and accuracy of the methods.

Keywords:
fractional integral and derivative caputo derivative error bound

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