Iterative solution for a class of partial differential equations in fractal spaces

A class of fractal PDE is successfully established by He's fractal derivative in a fractal space, and their variational principles are obtained by the semi-inverse method. The Fourier-Rabbani-He method and the Ritz-like method are used to solve the given fractal equations with initial value conditions. The example is a great demonstration of how the Fourier-Rabbani-He method is a powerful and simple tool that can be used in different ways.