Fractional dynamical systems defined on fractional jet bundle and applications in economics

Abstract

Using Caputo fractional derivative of order $\alpha$ we build the fractional jet bundle of order $\alpha$ and its main geometrical structures. Defined on that bundle, some fractional dynamical systems with applications to economics are studied.

presented at Differential Geometry-Dynamical Systems Conference, DGDS, 5-7 October, 2007, Bucharest, Romania

References in corpus (5)

• Geometric and Physical Interpretation of Fractional Integration and Fractional Differentiation
• Fractional Hamilton formalism within Caputo's derivative
• Fractional Generalization of Gradient and Hamiltonian Systems
• The geometry of fractional osculator bundle of higher order and applications
• Fractional dynamical systems and applications in mechanics and economics