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Constrained fractional variational problems of variable order
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Orientador(es)
Resumo(s)
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.
Descrição
Palavras-chave
Fractional calculus Isoperimetric constraints Holonomic constraints Variable fractional order Fractional calculus of variations
Contexto Educativo
Citação
Editora
Institute of Electrical and Electronics Engineers