This article is cited 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

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.

UDC: 517.968

MSC: 34A08, 34C15

Original article submitted 29/VI/2009
revision submitted – 12/IX/2009

DOI: 10.14498/vsgtu703

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