Khalili Golmankhaneh, A.Tunç, C.Juraev, D.A.2025-07-302025-07-30202597830315864080930-898910.1007/978-3-031-58641-5_92-s2.0-105010817838https://doi.org/10.1007/978-3-031-58641-5_9https://hdl.handle.net/20.500.14720/28122Science and Engineering Research Board (SERB), Department of Science and Technology (DST), Government of IndiaIn 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. © The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.eninfo:eu-repo/semantics/closedAccessFractal CalculusFractal ManifoldFractal Nambu MechanicsConference Object397 SPPHYN/AQ4129145