Numerical solution of multi-order fractional dierential equations via the sinc collocation method

In this paper, the sinc collocation method is proposed for solving linear and nonlinear multi-order fractional dierential equations based on the new denition of fractional derivative which is recently presented by Khalil, R., Al Horani, M., Yousef, A. and Sababeh, M. in A new denition of fractional derivative, J. Comput. Appl. Math. 264 (2014), 65{70. The properties of sinc functions are used to reduce the fractional dierential equation to a system of algebraic equations. Several numerical examples are provided to illustrate the accuracy and eectiveness of the presented method.