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arXiv:1601.07376 [math.OC]AbstractReferencesReviewsResources

Variational Problems Involving a Caputo-Type Fractional Derivative

Ricardo Almeida

Published 2016-01-24Version 1

The aim of this paper is to study certain problems of calculus of variations, that are dependent upon a Lagrange function on a Caputo-type fractional derivative. This type of fractional operator is a generalization of the Caputo and the Caputo--Hadamard fractional derivatives, that are dependent on a real parameter ro. Sufficient and necessary conditions of the first and second order are presented. The cases of integral and holonomic constraints are also considered.

Comments: This is a preprint of a paper whose final and definite form will be published in Journal of Optimization Theory and Applications
Categories: math.OC, cs.SY
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