Fractional Euler-Lagrange differential equations via Caputo derivatives

Details Fractional Euler-Lagrange differential equations via Caputo derivatives Fractional Euler-Lagrange differential equations via Caputo derivatives

2011-09-03

arxiv.org/abs/1109.0658v1

Fractional Dynamics and Control, Springer New York, 2012, 109-118

Mathematics

Optimization and Control

This is a preprint of a paper whose final and definite form will appear as Chapter 9 of the book Fractional Dynamics and Contr

Scientific paper

10.1007/978-1-4614-0457-6_9

We review some recent results of the fractional variational calculus.
Necessary optimality conditions of Euler-Lagrange type for functionals with a
Lagrangian containing left and right Caputo derivatives are given. Several
problems are considered: with fixed or free boundary conditions, and in
presence of integral constraints that also depend on Caputo derivatives.

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