Elsgolts, L. (1977) Differential Equations and the Calculus of Variations. Translated from the Russian by G. Yankovsky, Mir, Moscow.

has been cited by the following article:

• TITLE: Approximate Technique for Solving Class of Fractional Variational Problems

  AUTHORS: Emad M. Solouma, Mohamed M. Khader

  KEYWORDS: Fractional Variational Problems, Caputo Fractional Derivatives, Legendre Spectral Collocation Method, Rayleigh-Ritz Method, Convergence Analysis

  JOURNAL NAME: Applied Mathematics, Vol.6 No.5, May 19, 2015

  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.