Fractional Dynamical Systems on Fractional Leibniz Algebroids

Details Fractional Dynamical Systems on Fractional Leibniz Algebroids Fractional Dynamical Systems on Fractional Leibniz Algebroids

2007-09-15

arxiv.org/abs/0709.2443v1

Commnicated to Conference of Differential Geometry: Lagrange and Hamilton spaces. Dedicated to Acad. Prof. Dr. Radu Miron at h

Mathematics

Differential Geometry

14 pages

Scientific paper

The theory of derivative of noninteger order goes back to Leibniz, Liouville and Riemann. Derivatives of fractional order have found many applications in recent studies in mechanics, physics, economics. In this paper we define the fractional tangent bundle on a manifold, using a method of Radu Miron. The fractional Leibniz algebroids are investigated. The associated objects have an geometric character. Some fractional dynamical systems on a fractional Leibniz algebroid are disscussed.

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