FRACTIONAL EMBEDDING OF DIFFERENTIAL OPERATORS AND LAGRANGIAN SYSTEMS by Jacky CRESSON

@inproceedings{Cresson2008FRACTIONALEO,
  title={FRACTIONAL EMBEDDING OF DIFFERENTIAL OPERATORS AND LAGRANGIAN SYSTEMS by Jacky CRESSON},
  author={Jacky Cresson},
  year={2008}
}
— This paper is a contribution to the general program of embedding theories of dynamical systems. Following our previous work on the Stochastic embedding theory developed with S. Darses, we define the fractional embedding of differential operators and ordinary differential equations. We construct an operator combining in a symmetric way the left and right (Riemann-Liouville) fractional derivatives. For Lagrangian systems, our method provide a fractional Euler-Lagrange equation. We prove… CONTINUE READING
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