期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 29, 期 1-3, 页码 499-504出版社
ELSEVIER
DOI: 10.1016/j.cnsns.2015.06.006
关键词
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. (C) 2015 Elsevier B.V. All rights reserved.
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