  In this paper, we extend the principles of Nambu mechanics by incorporating
fractal calculus. This extension introduces Hamiltonian and Lagrangian
mechanics that incorporate fractal derivatives. By doing so, we broaden the
scope of our analysis to encompass the dynamics of fractal systems, enabling us
to capture their intricate and self-similar properties. This novel approach
opens up new avenues for understanding and modeling complex fractal structures,
thereby advancing our comprehension of these intricate phenomena.
