Innovative Insights and Fractal-View of Phi-Four Equations with Time Fractal Derivative

In this work, a new analytical technique recognized as the homotopy perturbation method is utilized to identify the general solutions of Phi-4 nonlinear partial differential equations of fractional order with respect to time. The first order general solution is determined by HPM and then compared with the exact result. It can be seen that the result obtained using HPM shows a large convergence rate for Phi-4 partial differential equations with time fractal derivative. The exact graphic solutions have been shown, and their respective errors have also been represented using tables.