The geometry of fractional osculator bundle of higher order and applications
نویسندگان
چکیده
Using the reviewed Riemann-Liouville fractional derivative we define the bundle αk E = Osc(M) and highlight geometrical structures with a geometrical character. Also, 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. Mathematics Subject Classification: 26A33, 53C63, 58A05, 58A40
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