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

Document Type : Research Article

Authors

• E. Hesameddini
• E. Asadollahifard

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

10.22067/ijnao.v5i1.38271

Abstract

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.

Keywords

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

20.1001.1.24236977.2015.5.1.3.8

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