Fractional Dynamical Systems on Fractional Leibniz Algebroids
Differential Geometry
2007-09-18 v1 Dynamical Systems
Abstract
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.
Cite
@article{arxiv.0709.2443,
title = {Fractional Dynamical Systems on Fractional Leibniz Algebroids},
author = {Gheorghe Ivan and Mihai Ivan and Dumitru Opris},
journal= {arXiv preprint arXiv:0709.2443},
year = {2007}
}
Comments
14 pages