## About this Research Topic

The most well-known analytical method is the perturbation method, which has led to the great discovery of Neptune in 1846, and since then mathematical prediction and empirical observation became two sides of a coin in physics. However, the perturbation method is based on the small parameter assumption, and ...

Nonlinear physics has been developing into a new stage, where the fractal-fractional differential equations have to be adopted to describe more accurately discontinuous problems, and it becomes ever more difficult to find an analytical solution for such nonlinear problems, and the analytical methods for fractal-fractional differential equations have laid the foundations for nonlinear physics.

The Research Topic is a review of the state of the art of fields of fractional calculus and analytical methods for nonlinear physics, it aims at developing new concepts, new mathematical frameworks, and new analytical methods for nonlinear problems to trigger new research frontiers in future.

This Research Topic welcomes the following articles:

• Fractal-fractional models for solitary waves traveling along the unsmooth boundary or in a fractal medium;

• Pull-in stability of MEMS system;

• Nonlinear control of the bioprinting and 3D-printing processes;

• Low-frequency technology for energy harvesting and green buildings;

• Nonlinear phenomena arising in nanoscale fluids and nanomaterials.

**Keywords**:
Analytical Method, Nonlinear Oscillator, Solitary Wave, fractal-fractional

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