Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 29, Issue 1-3, Pages 499-504Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2015.06.006
Keywords
Asymptotic approximation; Damped vibrations; Linear oscillator; Local fractional derivative
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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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