Generalized Transversality Conditions in Fractional Calculus of Variations
Optimization and Control
2015-06-05 v1
Abstract
Problems of calculus of variations with variable endpoints cannot be solved without transversality conditions. Here, we establish such type of conditions for fractional variational problems with the Caputo derivative. We consider: the Bolza-type fractional variational problem, the fractional variational problem with a Lagrangian that may also depend on the unspecified end-point , where is a given curve, and the infinite horizon fractional variational problem.
Keywords
Cite
@article{arxiv.1207.5336,
title = {Generalized Transversality Conditions in Fractional Calculus of Variations},
author = {Ricardo Almeida and Agnieszka B. Malinowska},
journal= {arXiv preprint arXiv:1207.5336},
year = {2015}
}
Comments
This is a preprint of a paper whose final and definite form will be published in Communications in Nonlinear Science and Numerical Simulation, accepted 14-July-2012