Olivia Florea, Dumitru Baleanu, and Jihad Asad. Fractional Features of a Double Pendulum System. Dynamic Systems and Applications 30 (2021) No.2, 305-319

https://doi.org/10.46719/dsa202130210

ABSTRACT.
An interesting physical system called double pendulum is studied in this work. Firstly, the classical Lagrangian is derived and, as a result, CELEs are obtained. Secondly, the fractional Lagranian was developed and consequently the FELEs were obtained. Thirdly, the fractional Hamiltonian equation was derived, and, as a result, the FHEs has been reported. Furthermore, we solved the obtained fractional derivative equations numerically and the simulation results have been reported for some initial conditions.

 AMS (MOS) Subject Classification. 35R11, 37N05.