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arXiv · 1704.05697

Fractional Herglotz Variational Principles with Generalized Caputo Derivatives

Roberto Garra·Giorgio S. Taverna·Delfim F. M. Torres
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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.

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Roberto Garra, Giorgio S. Taverna, Delfim F. M. Torres. 2017-04-19. Fractional Herglotz Variational Principles with Generalized Caputo Derivatives. https://doi.org/10.1016/j.chaos.2017.04.035

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