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arXiv · 1101.2963

Generalized Hamilton's Principle with Fractional Derivatives

Teodor M. Atanackovic·Sanja Konjik·Ljubica Oparnica·Stevan Pilipovic
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Abstract

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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Teodor M. Atanackovic, Sanja Konjik, Ljubica Oparnica, Stevan Pilipovic. 2011-01-15. Generalized Hamilton's Principle with Fractional Derivatives. https://doi.org/10.1088/1751-8113%2F43%2F25%2F255203

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