Constrained Fractional Variational Problems of Variable Order

Isoperimetric problems consist in minimizing or maximizing a cost functional subject to an integral constraint.In this work, we present two fractional isoperimetric problems where the Lagrangian depends on a combined Caputo derivative of variable fractional order and we present a new variational pro...

Full description

Saved in:
Bibliographic Details
Published in:IEEE/CAA journal of automatica sinica 2017-01, Vol.4 (1), p.80-88
Main Authors: Tavares, Dina, Almeida, Ricardo, Torres, Delfim F. M.
Format: Article
Language:English
Subjects:
Boundary conditions
Constraints
Derivatives
Differential equations
Electronic mail
Fractional calculus
Integral equations
Integrals
Isoperimetric problem
Optimization
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Isoperimetric problems consist in minimizing or maximizing a cost functional subject to an integral constraint.In this work, we present two fractional isoperimetric problems where the Lagrangian depends on a combined Caputo derivative of variable fractional order and we present a new variational problem subject to a holonomic constraint. We establish necessary optimality conditions in order to determine the minimizers of the fractional problems. The terminal point in the cost integral,as well as the terminal state, are considered to be free, and we obtain corresponding natural boundary conditions.
ISSN:2329-9266
2329-9274
DOI:10.1109/JAS.2017.7510331