Fractional variational calculus for nondifferentiable functions

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...

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Bibliographic Details
Main Author: Almeida, R. (author)
Other Authors: Torres, D.F.M. (author)
Format: article
Language:eng
Published: 1000
Subjects:
Online Access:http://hdl.handle.net/10773/4064
Country:Portugal
Oai:oai:ria.ua.pt:10773/4064
Description
Summary: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.