Lie symmetry group, exact solutions and conservation laws for multi-term time fractional differential equations

Abstract

In this paper, the time fractional Benjamin-Bona-Mahony-Peregrine (BBMP) equation and time-fractional Novikov equation with the Riemann-Liouville derivative are investigated through the use of Lie symmetry analysis and the new Noether's theorem. Then, we construct their group-invariant solutions by means of Lie symmetry reduction. In addition, the power-series solutions are also obtained with the help of the Erdélyi-Kober (E-K) fractional differential operator. Furthermore, the conservation laws for the time-fractional BBMP equation are established by utilizing the new Noether's theorem.

Keywords

• lie symmetry analysis
• time-fractional bbmp equation
• time-fractional novikov equation
• group-invariant solutions
• conservation laws