Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/4154
Title: | Fractional variational problems with the Riesz-Caputo derivative |
Author: | Almeida, R. |
Keywords: | Calculus of variations Isoperimetric problem Riesz-Caputo fractional derivative |
Issue Date: | 2012 |
Publisher: | Elsevier |
Abstract: | In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the functional is different from the interval of the fractional derivative. Next we consider integral dynamic constraints on the problem, for several different cases. Finally, we determine optimality conditions for functionals depending not only on the admissible functions, but on time also, and we present a necessary condition for a pair function-time to be an optimal solution to the problem. © 2011 Elsevier Ltd. All rights reserved. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/4154 |
DOI: | 10.1016/j.aml.2011.08.003 |
ISSN: | 0893-9659 |
Appears in Collections: | DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
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Almeida_RV1.pdf | 255.31 kB | Adobe PDF | View/Open |
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