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

نویسندگان
Nasiri, Mitra ID 1
Ahmadi Darani, Mohammadreza ID 2

1 Shahrekord University.

2 Shahrekord University.

doi
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