Science and Education Publishing American Journal of Numerical Analysis 2372-2126 3 1 2015 03 29 Analysis of Fractional Splines Interpolation and Optimal Error Bounds 30 35 EN Faraidun K. Hamasalh Faculty of Science and Science Education, School of Science Education, Sulaimani Univ., Sulaimani, Iraq Pshtiwan O. Muhammad AJNA2015315 10.12691/ajna-3-1-5 2015 02 16 2015 03 10 2015 03 29 This paper presents a formulation and a study of three interpolatory fractional splines these are in the class of m, m = 2, 4, 6, = 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.