Necessary optimality conditions for fractional difference problems of the calculus of variations
We introduce a discrete-time fractional calculus of variations. First and second order necessary optimality conditions are established. Examples illustrating the use of the new Euler-Lagrange and Legendre type conditions are given. They show that the solutions of the fractional problems coincide wit...
| Autor principal: | |
|---|---|
| Outros Autores: | , |
| Formato: | article |
| Idioma: | eng |
| Publicado em: |
2014
|
| Assuntos: | |
| Texto completo: | http://hdl.handle.net/10400.19/2434 |
| País: | Portugal |
| Oai: | oai:repositorio.ipv.pt:10400.19/2434 |
| Resumo: | We introduce a discrete-time fractional calculus of variations. First and second order necessary optimality conditions are established. Examples illustrating the use of the new Euler-Lagrange and Legendre type conditions are given. They show that the solutions of the fractional problems coincide with the solutions of the corresponding non-fractional variational problems when the order of the discrete derivatives is an integer value. |
|---|