A Generalized Fractional Calculus of Variations
arXiv:1304.5282
Abstract
We study incommensurate fractional variational problems in terms of a generalized fractional integral with Lagrangians depending on classical derivatives and generalized fractional integrals and derivatives. We obtain necessary optimality conditions for the basic and isoperimetric problems, transversality conditions for free boundary value problems, and a generalized Noether type theorem.
This is a preprint of a paper whose final and definitive form will appear in Control and Cybernetics. Paper submitted 01-Oct-2012; revised 25-March-2013; accepted for publication 17-April-2013
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- A Simple Accurate Method for Solving Fractional Variational and Optimal Control Problems
- Existence and Uniqueness results for a class of Generalized Fractional Differential Equations
- An expansion formula with higher-order derivatives for fractional operators of variable order
- The Legendre Condition of the Fractional Calculus of Variations
- Generalized fractional operators for nonstandard Lagrangians
- A survey on fractional variational calculus