Generalized Hamilton's Principle with Fractional Derivatives

Details Generalized Hamilton's Principle with Fractional Derivatives Generalized Hamilton's Principle with Fractional Derivatives

2011-01-15

arxiv.org/abs/1101.2963v1

J. Phys. A, Math. Theor., 43, 255203(12pp), 2010

Mathematics

Functional Analysis

Scientific paper

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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