Fractional dynamical systems and applications in mechanics and economics
arXiv:0709.1681
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.
Dedicated to Acad. Radu Miron at his 80th birthday