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

Iranian Journal of Numerical Analysis and Optimization

مقاله 3، دوره 5، شماره 1 - شماره پیاپی 7، تیر 2015، صفحه 37-48   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.v5i1.38271

نویسندگان

E. Hesameddini^* ؛ E. Asadollahifard

Department of Mathematics, Shiraz University of Technology, Shiraz , Iran.

چکیده

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.

کلیدواژه‌ها

Sinc function؛ Fractional differential equations؛ Multi-order FDEs؛ Collocation method

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