Numerical solution of multi-order fractional differential equations via the sinc collocation method
نویسندگان
1 Department of Mathematics, Shiraz University of Technology, Shiraz , Iran.
2 Department of Mathematics, Shiraz University of Technology, Shiraz , Iran.
doi
10.22067/ijnao.v5i1.38271چکیده
In this paper, the sinc collocation method is proposed for solving linear and nonlinear multi-order fractional differential equations based on the new definition of fractional derivative which is recently presented by Khalil, R., Al Horani, M., Yousef, A. and Sababeh, M. in A new definition of fractional derivative, J. Comput. Appl. Math. 264 (2014), 65{70. The properties of sinc functions are used to reduce the fractional differential equation to a system of algebraic equations. Several numerical examples are provided to illustrate the accuracy and effectiveness of the presented method.
