Variational Problems Involving a Caputo-Type Fractional Derivative
Optimization and Control
2016-02-24 v2 Systems and Control
Abstract
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.
Cite
@article{arxiv.1601.07376,
title = {Variational Problems Involving a Caputo-Type Fractional Derivative},
author = {Ricardo Almeida},
journal= {arXiv preprint arXiv:1601.07376},
year = {2016}
}
Comments
This is a preprint of a paper whose final and definite form will be published in Journal of Optimization Theory and Applications