Fractional variational problems depending on fractional derivatives of differentiable functions with application to nonlinear chaotic systems
arXiv:1307.8331
Abstract
In the present work, we formulate a necessary condition for functionals with Lagrangians depending on fractional derivatives of differentiable functions to possess an extremum. The Euler-Lagrange equation we obtained generalizes previously known results in the literature and enables us to construct simple Lagrangians for nonlinear systems. As examples of application, we obtain Lagrangians for some chaotic dynamical systems.
Talk given at The Cape Verde International Days on Mathematics 2013, and published in Conference Papers in Mathematics