Garra, R, Taverna, GS and Torres, DFM (2017) Fractional Herglotz variational principles with generalized Caputo derivatives. Chaos, Solitons & Fractals, 102. pp. 94-98. ISSN 0960-0779
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.
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | © 2017 Elsevier Ltd. This is an author produced version of a paper published in Chaos, Solitons & Fractals. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Fractional variational principles; Herglotz problem; Euler–Lagrange equations; Generalized fractional operators |
Dates: |
|
Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Environment (Leeds) > School of Earth and Environment (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 16 Oct 2017 12:52 |
Last Modified: | 29 Apr 2018 00:39 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.chaos.2017.04.035 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:122484 |