Approximate Technique for Solving Class of Fractional Variational Problems
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Abstract: This paper is devoted to implementing the Legendre spectral collocation method to introduce numerical solutions of a certain class of fractional variational problems (FVPs). The properties of the Legendre polynomials and Rayleigh-Ritz method are used to reduce the FVPs to the solution of system of algebraic equations. Also, we study the convergence analysis. The obtained numerical results show the simplicity and the efficiency of the proposed method.
Cite this paper: Solouma, E. , Khader, M. (2015) Approximate Technique for Solving Class of Fractional Variational Problems. Applied Mathematics, 6, 837-846. doi: 10.4236/am.2015.65078.
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