The geometry of fractional osculator bundle of higher order and applications

2007/09/13 by Ion Doru Albu, I. D. Albu, Albu, Ion Doru +6 · 2 citations
Mathematics · Physics and Astronomy · #26A33 #53C63 #58A05 #58A40 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Waves and Solitons #math.DG #msc:26A33 #msc:53C63 #msc:58A05 #msc:58A40

paper · pdf · doi:10.48550/arxiv.0709.2000

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

arxiv created 2007/09/13 · openalex publication_date 2007/09/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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