The geometry of fractional osculator bundle of higher order and applications

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.

arXiv comment20 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

References in corpus (2)

• Fractional Generalization of Gradient and Hamiltonian Systems
• Fractional Differential Forms

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