The Generalized Fractional Calculus of Variations
Optimization and Control
2014-05-13 v1
Abstract
We review the recent generalized fractional calculus of variations. We consider variational problems containing generalized fractional integrals and derivatives and study them using indirect methods. In particular, we provide necessary optimality conditions of Euler-Lagrange type for the fundamental and isoperimetric problems, natural boundary conditions, and Noether type theorems.
Keywords
Cite
@article{arxiv.1401.7291,
title = {The Generalized Fractional Calculus of Variations},
author = {Tatiana Odzijewicz and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1401.7291},
year = {2014}
}
Comments
This is a preprint of a paper whose final and definite form will appear in Southeast Asian Bulletin of Mathematics (2014)