We investigate the tanh-coth method's usefulness in understanding space-time fractional nonlinear evolution problems. To use this method and then examine their plots, we take into consideration three significant equations: the space-time fractional Burgers equation, the space-time fractional regularized long wave equation, and the space-time fractional Boussinesq equation. The modified Riemann-Liouville derivatives are used to define the fractional derivative. The approach provides a linearization-or small perturbation-free analytical solution in the form of a convergent series with easily calculable components. For the aforementioned nonlinear fractional equations, we have discovered their precise solutions. We utilize a generalized fractional complex transform to translate these to ordinary differential equations which subsequently resulted into number of exact solutions.
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