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Title: Constrained fractional variational problems of variable order
Author: Tavares, Dina
Almeida, Ricardo
Torres, Delfim F. M.
Keywords: Isoperimetric constraints
Holonomic constraints
Fractional calculus
Variable fractional order
Fractional calculus of variations
Issue Date: 16-Jan-2017
Publisher: IEEE
Abstract: 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.
Peer review: yes
DOI: 10.1109/JAS.2017.7510331
ISSN: 2329-9266
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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