Fractional Herglotz variational principles with generalized Caputo derivatives

Roberto Garra, Giorgio S. Taverna and Delfim F.M. Torres

Chaos, Solitons & Fractals, 2017, vol. 102, issue C, 94-98

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.

Keywords: Fractional variational principles; Herglotz problem; Euler–Lagrange equations; Generalized fractional operators (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:102:y:2017:i:c:p:94-98

DOI: 10.1016/j.chaos.2017.04.035

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