Space-time fractional Klein-Gordon equation: Symmetry analysis, conservation laws and numerical approximations

摘要

In this paper the symmetry operators of the fractional Klein-Gordon (KG) equation are found. The generalized fractional Noether's theorem is used in order to find the conservation laws of the considered equation. Finally, the Chebyshev spectral collocation method is extended to space-time-fractional case for giving some numerical results and conservation laws for the equation.