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http://hdl.handle.net/10773/11903| Título: | Fractional variational calculus with classical and combined Caputo derivatives |
| Autor: | Odzijewicz, T. Malinowska, A. B. Torres, D. F. M. |
| Palavras-chave: | Euler-Lagrange equations Fractional derivatives Fractional variational analysis Isoperimetric problems Natural boundary conditions Variational analysis Differentiation (calculus) Variational techniques Calculations |
| Data: | 2012 |
| Editora: | Elsevier |
| Resumo: | We give a proper fractional extension of the classical calculus of variations by considering variational functionals with a Lagrangian depending on a combined Caputo fractional derivative and the classical derivative. EulerLagrange equations to the basic and isoperimetric problems as well as transversality conditions are proved. © 2011 Elsevier Ltd. All rights reserved. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/11903 |
| DOI: | 10.1016/j.na.2011.01.010 |
| ISSN: | 0362-546X |
| Aparece nas coleções: | CIDMA - Artigos |
Ficheiros deste registo:
| Ficheiro | Descrição | Tamanho | Formato | |
|---|---|---|---|---|
| [207]FVC_Classical_CombinedCaputo.pdf | 258.28 kB | Adobe PDF |  |
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