On exact solutions of some important nonlinear conformable time-fractional differential equations

The nonlinear fractional Boussinesq equations are known as the differential equation class that has an important place in mathematical physics. In this study, a method called $$\Big (\frac{G'}{G^2}\Big )$$ -extension which works well and reveals exact solutions is used to examine with conformable time-fractional derivative. This very useful approach extremely utility compared other analytical methods. With proposed method, there three unique types of such hyperbolic, trigonometric rational solutions. can similarly be applied models.