Abstract
The aim of this paper is to investigate a direct numerical method for solving a class of a fractional variational problem (FVP). The fractional derivative in the FVP is in the Caputo sense. The Rayleigh-Ritz method is introduced for the numerical solution of the FVP. The corresponding Euler-Lagrange equation contain the left and right Caputo fractional derivatives. We approximate the solution of the FVP by using the trigonometric function. Finally, the illustrative example is presented.
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