GEOMETRIA FIBRATULUI OSCULATOR FRACŢIONAL DE ORDIN SUPERIOR PE R. APLICAŢII ÎN MECANICĂ ŞI ECONOMIE
The Geometry of Fractional Osculator Bundle of Higher Order on R. Applications in Mechanics and Economics

Summary/Abstract: Using Riemann-Liouville fractional derivative on R, is built fractional osculator bundle of high order on R, note Ea = Oscak(R). Fractional Liouville fields are defined and αk spray on Ea. Euler-Lagrange equation to obtain a fractional Lagrangian function associated with a defined on Ea. It states that Bagley-Torvik equation homogeneous equation describing the model of Phillips, the equation that describes the business cycle model with innovation, differential equations of classical friction, the differential equation of a chaotic dynamical system, Euler-Lagrange fractional equations are. Finally described numerical simulations for these equations.

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