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Title: Fractional Herglotz variational principles with generalized Caputo derivatives
Author: Garra, R.
Taverna, G. S.
Torres, D. F. M.
Keywords: Euler–Lagrange equations
Fractional variational principles
Generalized fractional operators
Herglotz problem
Issue Date: 2017
Publisher: Elsevier
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. © 2017 Elsevier Ltd
Peer review: yes
DOI: 10.1016/j.chaos.2017.04.035
ISSN: 0960-0779
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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