Fractal Variational Theory for Chaplygin-He Gas in a Microgravity Condition

Abstract

On the microgravity condition, gravity affects the motion of objects and the flow of fluids, and the continuum assumption is not valid, therefore, a fractal Chaplygin-He gas model is developed by a new fractal derivative in microgravity space. A fractal variational principle is successfully established via the fractal semi-inverse method.

Keywords

• fractal derivative
• chaplygin-he gas model
• microgravity space
• fractal variational theory
• fractal semi-inverse method‎