Comparison of sinc methods for the solution of fractional boundary value problems

In this study, sinc-Galerkin and sinc-collocation methods are presented to solve numerically some well-known class of fractional differential equations (FDEs) utilizing Mathematica. By using these two methods, FDEs with the variable coefficient and boundary values are examined. To obtain an approximate solution of the given class of differential equations with sinc methods is reduced a system of algebraic equations which is simpler form via theorems. Obtained numerical results and approximate solution functions are presented in the table and graphical forms, respectively. It can be concluded from tables and graphs that sinc-collocation method has the more accurate and effective results than sinc-Galerkin method.