Analysis of the Fractional Differential Equations Using Two Different Methods

Numerical methods play an important role in modern mathematical research, especially studying the symmetry analysis and obtaining numerical solutions of fractional differential equation. In current work, we use two schemes to deal with equations. first case, a combination group preserving scheme fictitious time integration method (FTIM) is considered solve problem. Firstly, applied FTIM role, then GPS came integrate obtained new system using initial conditions. Figure tables containing are provided. The tabulated simulations compared reproducing kernel Hilbert space (RKHSM) as well exact solution. methodology RKHSM mainly relies on right choice functions. results confirm that finds true Additionally, these indicate effectiveness proposed methods.