Lagrangean and Hamiltonian fractional sequential mechanics

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Fractional Optimal Control in the Sense of Caputo and the Fractional Noether's Theorem (2007, background): “The new fractional variational calculus provide a more realistic approach to physics [6, 7, 8, 18, 22, 28], permitting to consider nonconservative systems in a natural way—a very important issue since closed systems do not exist: forces that do not store energy, socalled nonconservative or dissipati”
On exact solutions of a class of fractional Euler–Lagrange equations (2007, background): “During the last years the fractional variational principles [12, 13, 14, 15 , 16, 17, 18, 19, 20, 21, 22, 23, 24, 25] have developed and applied to fractional optimal control problems [26, 27].”