Numerical solution of multi-order fractional di erential equations via the sinc collocation method
Publish Year: 1394
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJNAO-5-1_003
تاریخ نمایه سازی: 6 شهریور 1396
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.
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Authors
e Hesameddini
Department of Mathematics, Shiraz University of Technology, Shiraz , Iran.
e Asadollahifard
Department of Mathematics, Shiraz University of Technology, Shiraz , Iran.