eng Science and Education Publishing American Journal of Numerical Analysis 2372-2126 2015-03-29 3 1 30 35 10.12691/ajna-3-1-5 AJNA2015315 article Faraidun K. Hamasalh faraidunsalh@gmail.com 1 Pshtiwan O. Muhammad 1 Faculty of Science and Science Education, School of Science Education, Sulaimani Univ., Sulaimani, Iraq 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. http://pubs.sciepub.com/ajna/3/1/5/ajna-3-1-5.pdf fractional integral and derivative caputo derivative error bound