A new analysis for Klein-Gordon model with local fractional derivative

Abstract

This work adopts Yang’s local fractional derivative to define the fractional Klein-Gordon equation in a fractal space or microgravity space. The variational principle of local fractional Klein-Gordon equation is successfully established via fractional semi-inverse transform method and the classical He’s variational iteration method (HVIM) is used to obtain its approximate analytical solution.

Keywords

• Yang’s local fractional derivative
• Fractional Klein-Gordon equation
• Microgravity space
• Variational principle
• He’s variational iteration method