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math-ph2007★ 2 cited
On exact solutions of a class of fractional Euler-Lagrange equations
Dumitru Baleanu, Juan J. Trujillo
In this paper, first a class of fractional differential equations are obtained by using the fractional variational principles. We find a fractional Lagrangian , where $_a^c…
math-ph2006
Some applications of semi-discrete variational integrators to classical field theories
Manuel de Leon, Juan Carlos Marrero, David Martin de Diego
We develop a semi-discrete version of discrete variational mechanics with applications to numerical integration of classical field theories. The geometric preservation properties a…