Optimality conditions for fractional variational problems with dependence on a combined Caputo derivative of variable order

We establish necessary optimality conditions for variational problems with a Lagrangian depending on a combined Caputo derivative of variable fractional order. The endpoint of the integral is free, and thus transversality conditions are proved. Several particular cases are considered illustrating th...

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Detalhes bibliográficos
Autor principal: Tavares, D. (author)
Outros Autores: Almeida, R. (author), Torres, D. F. M. (author)
Formato: article
Idioma:eng
Publicado em: 1000
Assuntos:
Texto completo:http://hdl.handle.net/10773/14646
País:Portugal
Oai:oai:ria.ua.pt:10773/14646
Descrição
Resumo:We establish necessary optimality conditions for variational problems with a Lagrangian depending on a combined Caputo derivative of variable fractional order. The endpoint of the integral is free, and thus transversality conditions are proved. Several particular cases are considered illustrating the new results.