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http://hdl.handle.net/10773/18729| 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 |
| URI: | http://hdl.handle.net/10773/18729 |
| DOI: | 10.1016/j.chaos.2017.04.035 |
| ISSN: | 0960-0779 |
| Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| [372]Garra_Taverna_Torres-CHAOS.pdf | 380.14 kB | Adobe PDF |  |
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