Generalized Hamilton's Principle with Fractional Derivatives

preprint2011arXivOpen access

We generalize Hamilton's principle with fractional derivatives in Lagrangian $L(t,y(t),{}_0D_t^\al y(t),α)$ so that the function $y$ and the order of fractional derivative $α$ are varied in the minimization procedure. We derive stationarity conditions and discuss them through several examples.

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Generalized Hamilton's Principle with Fractional Derivatives

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