English

The geometry of fractional osculator bundle of higher order and applications

Differential Geometry 2007-09-14 v1

Abstract

Using the reviewed Riemann-Liouville fractional derivative we introduce the fractional osculator Lagrange space of k order and the main structures on it. The results are applied at the k order fractional prolongation of Lagrange, Finsler and Riemann fractional structures.

Keywords

Cite

@article{arxiv.0709.2000,
  title  = {The geometry of fractional osculator bundle of higher order and applications},
  author = {Ion Doru Albu and Mihaela Neamtu and Dumitru Opris},
  journal= {arXiv preprint arXiv:0709.2000},
  year   = {2007}
}

Comments

20 pages, the paper was presented at International Conference on Differential Geometry Lagrange and Hamilton Spaces, Dedicated to Acad. Radu Miron at eighty, September 3-8, 2007, Iasi, Romania