Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/18267
Title: | A fractional calculus of variations for multiple integrals with application to vibrating string |
Author: | Almeida, R Malinowska, AB Torres, DFM |
Issue Date: | 2010 |
Abstract: | We introduce a fractional theory of the calculus of variations for multiple integrals. Our approach uses the recent notions of Riemann-Liouville fractional derivatives and integrals in the sense of Jumarie. The main results provide fractional versions of the theorems of Green and Gauss, fractional Euler-Lagrange equations, and fractional natural boundary conditions. As an application we discuss the fractional equation of motion of a vibrating string. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/18267 |
ISSN: | 0022-2488 |
Appears in Collections: | DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
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Almeida_Malinowska_Torres.pdf | 196.26 kB | Adobe PDF | View/Open |
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