A formulation of Noether's theorem for fractional problems of the calculus of variations
Fractional (or non-integer) differentiation is an important concept both from theoretical and applicational points of view. The study of problems of the calculus of variations with fractional derivatives is a rather recent subject, the main result being the fractional necessary optimality condition...
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| Format: | article |
| Language: | eng |
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1000
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| Online Access: | http://hdl.handle.net/10773/4141 |
| Country: | Portugal |
| Oai: | oai:ria.ua.pt:10773/4141 |
| Summary: | Fractional (or non-integer) differentiation is an important concept both from theoretical and applicational points of view. The study of problems of the calculus of variations with fractional derivatives is a rather recent subject, the main result being the fractional necessary optimality condition of Euler-Lagrange obtained in 2002. Here we use the notion of Euler-Lagrange fractional extremal to prove a Noether-type theorem. For that we propose a generalization of the classical concept of conservation law, introducing an appropriate fractional operator. © 2007 Elsevier Inc. All rights reserved. |
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