Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives

We prove optimality conditions for different variational functionals containing left and right Caputo fractional derivatives. A sufficient condition of minimization under an appropriate convexity assumption is given. An Euler-Lagrange equation for functionals where the lower and upper bounds of the...

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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/10773/4069
Country:Portugal
Oai:oai:ria.ua.pt:10773/4069