The generalized projective Riccati equations method for solving quadratic-cubic conformable time-fractional Klien-Fock-Gordon equation

In this article, the generalized projective Riccati equations method is proposed for solving time-fractional Klien-Fock-Gordon (KFG) equation. The proposed model is explored for quadratic and cubic nonlinearities. The conformal derivative is used for time-fractional derivative in KFG equation. The soliton solutions are constructed and illustrated graphically for some particular values of fractional order α,0<α<1. The graphical illustration includes 3D plots and contour plots for obtained solutions. It has been observed that the mutation from quadratic-state to cubic-state causes change in the physical interpretation of obtained solutions.