Fractional dynamical systems and applications in mechanics and economics

2007/09/11 by Mihai Boleantu, Boleantu, Mihai, Dumitru Opriş +2
Engineering · Mathematics · #26A33 #53C60 #58A05 #58A40 #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #math.DG #math.DS #msc:26A33 #msc:53C60 #msc:58A05 #msc:58A40

paper · pdf · doi:10.48550/arxiv.0709.1681

Dedicated to Acad. Radu Miron at his 80th birthday

arxiv created 2007/09/11 · openalex publication_date 2007/09/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using the fractional integration and differentiation on R we build the fractional jet fibre bundle on a differentiable manifold and we emphasize some important geometrical objects. Euler-Lagrange fractional equations are described. Some significant examples from mechanics and economics are presented.

Citations

• Fractional Differential Equations

Related

• Fractional dynamical systems defined on fractional jet bundle and applications in economics
• On fractional Euler-Lagrange and Hamilton equations and the fractional generalization of total time derivative
• Fractional-differential equations of motion
• Fractional variational problems depending on fractional derivatives of differentiable functions with application to nonlinear chaotic systems
• A Fractional Variational Approach for Modelling Dissipative Mechanical Systems: Continuous and Discrete Settings