VARIATIONAL PRINCIPLE FOR NON-LINEAR FRACTIONAL WAVE EQUATION IN A FRACTAL SPACE

The fractal derivative is adopted to describe the non-linear fractional wave equation in a fractal space. A variational principle is successfully established by the semi-inverse method. The two-scale method and He's exp-function are used to solve the equation, and a good result is obtained.

Automated summary

The fractal derivative is used to describe the non-linear fractional wave equation in a fractal space. A variational principle is successfully established by the semi-inverse method. The equation is solved using the two-scale method and He's exp-function, leading to a good result.