Necessary conditions to a fractional variational problem
Optimization and Control
2021-04-12 v1
Abstract
In order to solve fractional variational problems, there exist two theorems of necessary conditions: an Euler-Lagrange equation which involves Caputo and Riemann-Liouville fractional derivatives, and other Euler-Lagrange equation that involves only Caputo derivatives. In this article, we make a comparison solving a particular fractional variational problem with both methods to obtain some conclusions about which method gives the optimal solution.
Cite
@article{arxiv.2104.04089,
title = {Necessary conditions to a fractional variational problem},
author = {Melani Barrios and Gabriela Reyero and Mabel Tidball},
journal= {arXiv preprint arXiv:2104.04089},
year = {2021}
}