Fractional variational calculus of variable order
Optimization and Control
2013-02-07 v2
Abstract
We study the fundamental problem of the calculus of variations with variable order fractional operators. Fractional integrals are considered in the sense of Riemann-Liouville while derivatives are of Caputo type.
Cite
@article{arxiv.1110.4141,
title = {Fractional variational calculus of variable order},
author = {Tatiana Odzijewicz and Agnieszka B. Malinowska and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1110.4141},
year = {2013}
}
Comments
Submitted 26-Sept-2011; accepted 18-Oct-2011; withdrawn by the authors 21-Dec-2011; resubmitted 27-Dec-2011; revised 20-March-2012; accepted 13-April-2012; to 'Advances in Harmonic Analysis and Operator Theory', The Stefan Samko Anniversary Volume (Eds: A. Almeida, L. Castro, F.-O. Speck), Operator Theory: Advances and Applications, Birkh\"auser Verlag (http://www.springer.com/series/4850)