Ahmadi Darani, M., Nasiri, M. (2013). A fractional type of the Chebyshev polynomials for approximation of solution of linear fractional differential equations. Computational Methods for Differential Equations, 1(2), 96-107.

Mohammadreza Ahmadi Darani; Mitra Nasiri. "A fractional type of the Chebyshev polynomials for approximation of solution of linear fractional differential equations". Computational Methods for Differential Equations, 1, 2, 2013, 96-107.

Ahmadi Darani, M., Nasiri, M. (2013). 'A fractional type of the Chebyshev polynomials for approximation of solution of linear fractional differential equations', Computational Methods for Differential Equations, 1(2), pp. 96-107.

Ahmadi Darani, M., Nasiri, M. A fractional type of the Chebyshev polynomials for approximation of solution of linear fractional differential equations. Computational Methods for Differential Equations, 2013; 1(2): 96-107.

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

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.

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