A collocation method for solving boundary value problems of fractional order

Abstract

In this work, the Sinc-Collocation Method (SCM) is used to find the approximate solutions of the secondorder fractional boundary value problems based on the conformable fractional derivative. For this purpose, a theorem is proved to represent the terms having fractional derivatives in terms of sinc basis functions. To show the effectiveness and accuracy of the method, some special problems are handled and the determined solutions are compared with the approximate solutions arising from using the other numerical methods as well as the exact solutions of the problems.