A simple frequency formulation for fractal–fractional non-linear oscillators: A promising tool and its future challenge

This paper proposes a simple frequency formula developed from He’s formulation for fractal systems. In this approach, the initial guess can be judiciously chosen. Even simplest leads to highly accurate approximate solution. A detailed theoretical development is elucidated, and solving process given step by step. The calculation reliable results have been merged into an effective tool deeply studying vibration systems, present approach offers completely new angle fast insight physical properties of non-linear system in space.