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Title: Fractional variational calculus for nondifferentiable functions
Author: Almeida, R.
Torres, D.F.M.
Keywords: Fractional calculus
Holonomic constraints
Isoperimetric problems
Jumarie's modified RiemannLiouville derivative
Natural boundary conditions
Issue Date: 2011
Publisher: Elsevier
Abstract: We prove necessary optimality conditions, in the class of continuous functions, for variational problems defined with Jumarie's modified RiemannLiouville derivative. The fractional basic problem of the calculus of variations with free boundary conditions is considered, as well as problems with isoperimetric and holonomic constraints. © 2011 Elsevier Ltd. All rights reserved.
Peer review: yes
ISSN: 0898-1221
Appears in Collections:MAT - Artigos

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