Generalized Hamilton's Principle with Fractional Derivatives

Ljubica Oparnica; Sanja Konjik; Stevan Pilipovic; Teodor M. Atanackovic

arxiv: 1101.2963 · v1 · pith:FNDD6ZZ2new · submitted 2011-01-15 · 🧮 math.FA

Generalized Hamilton's Principle with Fractional Derivatives

Teodor M. Atanackovic , Sanja Konjik , Ljubica Oparnica , Stevan Pilipovic This is my paper

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keywords fractionalalphaderivativeshamiltonprincipleconditionsderivativederive

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We generalize Hamilton's principle with fractional derivatives in Lagrangian $L(t,y(t),{}_0D_t^\al y(t),\alpha)$ so that the function $y$ and the order of fractional derivative $\alpha$ 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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