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A fractional type of the Chebyshev polynomials for approximation of solution of linear fractional differential equations | ||
Computational Methods for Differential Equations | ||
مقاله 2، دوره 1، شماره 2، دی 2013، صفحه 96-107 اصل مقاله (164.25 K) | ||
نوع مقاله: Research Paper | ||
نویسندگان | ||
Mohammadreza Ahmadi Darani* ؛ Mitra Nasiri | ||
Shahrekord University. | ||
چکیده | ||
In this paper we introduce a type of fractional-order polynomials based on the classical Chebyshev polynomials of the second kind (FCSs). Also we construct the operational matrix of fractional derivative of order $ gamma $ in the Caputo for FCSs and show that this matrix with the Tau method are utilized to reduce the solution of some fractional-order differential equations. | ||
کلیدواژهها | ||
Chebyshev polynomials؛ orthogonal system؛ fractional differential equation؛ fractional-order Chebyshev functions؛ Operational matrix | ||
مراجع | ||
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