Fractional Dynamical Systems on Fractional Leibniz Algebroids

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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.
14 pages

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Differential Geometry, Dynamical Systems, 53C15

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http://salesiana.dossiersoluciones.com/handle/123456789/138087

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.2443
 http://arxiv.org/abs/0709.2443
 Commnicated to Conference of Differential Geometry: Lagrange and Hamilton spaces. Dedicated to Acad. Prof. Dr. Radu Miron at his 80th anniversary. September 3-8, 2007. Iasi, Romania

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arXiv