Multiobjective fractional variational calculus in terms of a combined Caputo derivative
Optimization and Control
2011-12-16 v1
Abstract
The study of fractional variational problems in terms of a combined fractional Caputo derivative is introduced. Necessary optimality conditions of Euler-Lagrange type for the basic, isoperimetric, and Lagrange variational problems are proved, as well as transversality and sufficient optimality conditions. This allows to obtain necessary and sufficient Pareto optimality conditions for multiobjective fractional variational problems.
Keywords
Cite
@article{arxiv.1110.6666,
title = {Multiobjective fractional variational calculus in terms of a combined Caputo derivative},
author = {Agnieszka B. Malinowska and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1110.6666},
year = {2011}
}
Comments
Submitted 18-Nov-2010; accepted 28-Oct-2011; to Applied Mathematics and Computation (ISSN: 0096-3003). In press, DOI: 10.1016/j.amc.2011.10.075