Fractional variational calculus for nondifferentiable functions
Optimization and Control
2011-05-10 v1
Abstract
We prove necessary optimality conditions, in the class of continuous functions, for variational problems defined with Jumarie's modified Riemann-Liouville derivative. The fractional basic problem of the calculus of variations with free boundary conditions is considered, as well as problems with isoperimetric and holonomic constraints.
Cite
@article{arxiv.1103.5406,
title = {Fractional variational calculus for nondifferentiable functions},
author = {Ricardo Almeida and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1103.5406},
year = {2011}
}
Comments
Submitted 13-Aug-2010; revised 24-Nov-2010; accepted 28-March-2011; for publication in Computers and Mathematics with Applications