Fractional derivative generalization of Noether’s theorem
Maryam Khorshidi, Mehdi Nadjafikhah, Hossein Jafari (2015)
Open Mathematics
Similarity:
The symmetry of the Bagley–Torvik equation is investigated by using the Lie group analysis method. The Bagley–Torvik equation in the sense of the Riemann–Liouville derivatives is considered. Then we prove a Noetherlike theorem for fractional Lagrangian densities with the Riemann-Liouville fractional derivative and few examples are presented as an application of the theory.