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

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

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.

Bibliographic Details
Main Author: V. D. Beybalaev
Format: Article
Language:English
Published: Samara State Technical University 2009-06-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/eng/vsgtu703
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spelling doaj-55aed8f9d2204937a0e1fcd6bc8d6fd32020-11-25T02:51:17ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812009-06-012(19)24024210.14498/vsgtu703Solution of the initial problem for a differential equation of fractal oscillatorV. D. BeybalaevThis 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.http://mi.mathnet.ru/eng/vsgtu703
collection DOAJ
language English
format Article
sources DOAJ
author V. D. Beybalaev
spellingShingle V. D. Beybalaev
Solution of the initial problem for a differential equation of fractal oscillator
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
author_facet V. D. Beybalaev
author_sort V. D. Beybalaev
title Solution of the initial problem for a differential equation of fractal oscillator
title_short Solution of the initial problem for a differential equation of fractal oscillator
title_full Solution of the initial problem for a differential equation of fractal oscillator
title_fullStr Solution of the initial problem for a differential equation of fractal oscillator
title_full_unstemmed Solution of the initial problem for a differential equation of fractal oscillator
title_sort solution of the initial problem for a differential equation of fractal oscillator
publisher Samara State Technical University
series Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
issn 1991-8615
2310-7081
publishDate 2009-06-01
description 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.
url http://mi.mathnet.ru/eng/vsgtu703
work_keys_str_mv AT vdbeybalaev solutionoftheinitialproblemforadifferentialequationoffractaloscillator
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