# A fractional type of the Chebyshev polynomials for approximation of solution of linear fractional differential equations

Document Type : Research Paper

Authors

Shahrekord University.

Abstract

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.

Keywords

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### History

• Receive Date: 07 January 2014
• Revise Date: 22 January 2014
• Accept Date: 13 January 2014