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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2009, Issue 2(19), Pages 240–242
DOI: https://doi.org/10.14498/vsgtu703 (Mi vsgtu703) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Short Communication
Differential Equations

Solution of the initial problem for a differential equation of fractal oscillator

V. D. Beybalaev

Dept. of Applied Mathematics, Daghestan State University, Makhachkala
Full-text PDF (144 kB) Citations (4)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu703
Abstract: This article provides a synthesis of the problem of harmonic oscillator with damping based on differential equations with fractional differentiation and demonstrates the possibility of consideration of nonlinear oscillatory processes on their basis.
Keywords: fractal, fractal structure, differential equation, fractal oscillator.
Original article submitted 29/VI/2009
revision submitted – 12/IX/2009
Bibliographic databases:
Document Type: Article
UDC: 517.968
MSC: 34A08, 34C15
Language: Russian
Citation: V. D. Beybalaev, “Solution of the initial problem for a differential equation of fractal oscillator”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(19) (2009), 240–242
Citation in format AMSBIB
\Bibitem{Bey09}
\by V.~D.~Beybalaev
\paper Solution of the initial problem for a~differential equation of fractal oscillator
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2009
\vol 2(19)
\pages 240--242
\mathnet{http://mi.mathnet.ru/vsgtu703}
\crossref{https://doi.org/10.14498/vsgtu703}
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  • https://www.mathnet.ru/eng/vsgtu/v119/p240
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
     
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