An asymptotic perturbation solution for a linear oscillator of free damped vibrations in fractal medium described by local fractional derivatives

作者：Yang, Xiao-Jun^*; Srivastava, H. M.

来源：Communications in Nonlinear Science & Numerical Simulation, 2015, 29(1-3): 499-504.

DOI：10.1016/j.cnsns.2015.06.006

• Asymptotic approximation
• Damped vibrations
• Linear oscillator
• Local fractional derivative

The non-differentiable asymptotic approximation theory is first proposed in this article. One illustrative example for testing the free damped vibrations problem involving local fractional differential operator is given. The obtained result is remarkably simple and efficient to show the fractal behavior of a linear oscillator in fractal medium. Some graphical evidences are also provided.

• 出版日期2015-12
• 单位中国矿业大学（北京）