Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/16675
Title: | Constrained fractional variational problems of variable order |
Author: | Tavares, Dina Almeida, Ricardo Torres, Delfim F. M. |
Keywords: | Isoperimetric constraints Holonomic constraints Optimization Fractional calculus Variable fractional order Fractional calculus of variations |
Issue Date: | 16-Jan-2017 |
Publisher: | IEEE |
Abstract: | Isoperimetric problems consist in minimizing or maximizing a cost functional subject to an integral constraint. In this work, we present two fractional isoperimetric problems where the Lagrangian depends on a combined Caputo derivative of variable fractional order and we present a new variational problem subject to a holonomic constraint. We establish necessary optimality conditions in order to determine the minimizers of the fractional problems. The terminal point in the cost integral, as well the terminal state, are considered to be free, and we obtain corresponding natural boundary conditions. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/16675 |
DOI: | 10.1109/JAS.2017.7510331 |
ISSN: | 2329-9266 |
Appears in Collections: | CIDMA - Artigos SCG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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Tavares_Almeida_Torres-final.pdf | Main article | 261.41 kB | Adobe PDF | View/Open |
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