We obtain Euler–Lagrange equations, transversality conditions and a Noether-like theorem for Herglotz-type variational problems with Lagrangians depending on generalized fractional derivatives. As an application, we consider a damped harmonic oscillator with time-depending mass and elasticity, and arbitrary memory effects.
Fractional Herglotz variational principles with generalized Caputo derivatives / Garra, R.; Taverna, G. S.; Torres, D. F. M.. - In: CHAOS, SOLITONS AND FRACTALS. - ISSN 0960-0779. - 102:(2017), pp. 94-98. [10.1016/j.chaos.2017.04.035]
Fractional Herglotz variational principles with generalized Caputo derivatives
Garra R.;
2017
Abstract
We obtain Euler–Lagrange equations, transversality conditions and a Noether-like theorem for Herglotz-type variational problems with Lagrangians depending on generalized fractional derivatives. As an application, we consider a damped harmonic oscillator with time-depending mass and elasticity, and arbitrary memory effects.File allegati a questo prodotto
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