An asymptotic perturbation solution for a linear oscillator of free damped vibrations in fractal medium described by local fractional derivatives
An asymptotic perturbation solution for a linear oscillator of free damped vibrations in fractal medium described by local fractional derivatives
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DOI：
10.1016/j.cnsns.2015.06.006
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发表时间：
2015-12
期刊：
影响因子：
--
通讯作者：
Xiao-jun Yang;H. Srivastava
中科院分区：
文献类型：
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作者：
Xiao-jun Yang;H. Srivastava
本文首次提出了不可微渐近逼近理论。给出了一个检验含局部分数阶微分算子的自由阻尼振动问题的例子。所得结果简单有效地反映了分形介质中线性振子的分形行为。还提供了一些图形证据。
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.