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An efficient extension of the Chebyshev cardinal functions for differential equations with coordinate derivatives of non-integer order | ||
| Computational Methods for Differential Equations | ||
| مقاله 6، دوره 6، شماره 3، مهر 2018، صفحه 339-352 اصل مقاله (421.07 K) | ||
| نوع مقاله: Research Paper | ||
| نویسندگان | ||
| Khosro Sayevand* ؛ Hossein Arab | ||
| Faculty of Mathematical Sciences, Malayer University, P. O. Box 16846-13114, Malayer, Iran | ||
| چکیده | ||
| In this study, an effective numerical method for solving fractional differential equations using Chebyshev cardinal functions is presented. The fractional derivative is described in the Caputo sense. An operational matrix of fractional order integration is derived and is utilized to reduce the fractional differential equations to system of algebraic equations. In addition, illustrative examples are presented to demonstrate the efficiency and accuracy of the proposed method. | ||
| کلیدواژهها | ||
| Fractional differential equations؛ Chebyshev cardinal functions؛ Caputo fractional derivative | ||
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آمار تعداد مشاهده مقاله: 715 تعداد دریافت فایل اصل مقاله: 705 |
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