Fractional variational calculus for nondifferentiable functions

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 isop...

Full description

Saved in:
Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2011-05, Vol.61 (10), p.3097-3104
Main Authors: Almeida, Ricardo, Torres, Delfim F.M.
Format: Article
Language:English
Subjects:
Calculus of variations
Derivatives
Fractional calculus
Free boundaries
Holonomic constraints
Isoperimetric problems
Jumarie’s modified Riemann–Liouville derivative
Mathematical analysis
Mathematical models
Natural boundary conditions
Optimization
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2011.03.098