English

Generalized Hamilton's Principle with Fractional Derivatives

Functional Analysis 2015-05-27 v1

Abstract

We generalize Hamilton's principle with fractional derivatives in Lagrangian L(t,y(t),0Dt\aly(t),α)L(t,y(t),{}_0D_t^\al y(t),\alpha) so that the function yy and the order of fractional derivative α\alpha are varied in the minimization procedure. We derive stationarity conditions and discuss them through several examples.

Keywords

Cite

@article{arxiv.1101.2963,
  title  = {Generalized Hamilton's Principle with Fractional Derivatives},
  author = {Teodor M. Atanackovic and Sanja Konjik and Ljubica Oparnica and Stevan Pilipovic},
  journal= {arXiv preprint arXiv:1101.2963},
  year   = {2015}
}