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Fractional Euler-Lagrange equations revisited
Journal article   Peer reviewed

Fractional Euler-Lagrange equations revisited

Mohamed A. E. Herzallah and Dumitru Baleanu
Nonlinear dynamics, Vol.69(3), pp.977-982
01/08/2012

Abstract

Engineering Engineering, Mechanical Mechanics Science & Technology Technology
This paper presents the necessary and sufficient optimality conditions for the Euler-Lagrange fractional equations of fractional variational problems with determining in which spaces the functional must exist where the functional contains right and left fractional derivatives in the Riemann-Liouville sense and the upper bound of integration less than the upper bound of the interval of the fractional derivative. In order to illustrate our results, one example is presented.

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