Fractional Euler-Lagrange differential equations via Caputo derivatives
Optimization and Control
2011-11-29 v1 Classical Analysis and ODEs
Abstract
We review some recent results of the fractional variational calculus. Necessary optimality conditions of Euler-Lagrange type for functionals with a Lagrangian containing left and right Caputo derivatives are given. Several problems are considered: with fixed or free boundary conditions, and in presence of integral constraints that also depend on Caputo derivatives.
Cite
@article{arxiv.1109.0658,
title = {Fractional Euler-Lagrange differential equations via Caputo derivatives},
author = {Ricardo Almeida and Agnieszka B. Malinowska and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1109.0658},
year = {2011}
}
Comments
This is a preprint of a paper whose final and definite form will appear as Chapter 9 of the book Fractional Dynamics and Control, D. Baleanu et al. (eds.), Springer New York, 2012, DOI:10.1007/978-1-4614-0457-6_9, in press