Approximate Technique for Solving Class of Fractional Variational Problems

DOI: 10.4236/am.2015.65078   PDF   HTML     3,455 Downloads   4,043 Views  


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.

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Solouma, E. and Khader, M. (2015) Approximate Technique for Solving Class of Fractional Variational Problems. Applied Mathematics, 6, 837-846. doi: 10.4236/am.2015.65078.

Conflicts of Interest

The authors declare no conflicts of interest.


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