Approximate solutions of boundary value problems of fractional order by using sinc-Galerkin method

The aim of the present study is to obtain approximate solutions of fractional order linear two-point boundary value problem which are generalizations of classical boundary value problems by using sinc-Galerkin method. The fractional derivatives are defined in the Caputo sense using frequently in fractional calculus. The method is tested on some problems with homogeneous and nonhomogeneous boundary conditions and comparisons are made with the exact solutions and numerical solutions obtained by Haar Wavelet method. Numerical and graphical results show that the sinc-Galerkin method is a very effective and powerful tool in solving such problems.