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Communications in Nonlinear Science and Numerical Simulation
Article . 2015 . Peer-reviewed
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An asymptotic perturbation solution for a linear oscillator of free damped vibrations in fractal medium described by local fractional derivatives

descriptionPublicationkeyboard_double_arrow_right Article , Journal 01 Dec 2015Publisher:Elsevier BVJournal:Communications in Nonlinear Science and Numerical Simulation, volume 29, pages 499-504 (issn: 1007-5704, Copyright policy )
Authors: Xiao-Jun Yang; H.M. Srivastava;

doi: 10.1016/j.cnsns.2015.06.006

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

Abstract

Abstract 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.

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
78
Top 10%
Top 10%
Top 1%
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