Composition Functionals in Fractional Calculus of Variations
Optimization and Control
2010-09-20 v2
Abstract
We prove Euler-Lagrange and natural boundary necessary optimality conditions for fractional problems of the calculus of variations which are given by a composition of functionals. Our approach uses the recent notions of Riemann-Liouville fractional derivatives and integrals in the sense of Jumarie. As an application, we get optimality conditions for the product and the quotient of fractional variational functionals.
Cite
@article{arxiv.1009.2671,
title = {Composition Functionals in Fractional Calculus of Variations},
author = {Agnieszka B. Malinowska and Moulay Rchid Sidi Ammi and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1009.2671},
year = {2010}
}
Comments
This is a preprint of a paper whose final form has appeared in Commun. Frac. Calc. 1 (2010) 32-40