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