Solution of the initial problem for a~differential equation of fractal oscillator
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2009), pp. 240-242.

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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.
Mots-clés : fractal, fractal structure
Keywords: differential equation, fractal oscillator.
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V. D. Beybalaev. Solution of the initial problem for a~differential equation of fractal oscillator. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2009), pp. 240-242. http://geodesic.mathdoc.fr/item/VSGTU_2009_2_a27/

[1] Meilanov R. P., Yanpolov M. S., “Osobennosti fazovoi traektorii “fraktalnogo” ostsillyatora”, Pisma v ZhTF, 28:1 (2002), 67–73

[2] Nakhushev A. M., Elementy drobnogo ischisleniya i ikh primenenie, M., 2003, 272 pp. | Zbl

[3] Ogorodnikov E. N., Yashagin N. S., “Vynuzhdennye kolebaniya drobnykh ostsillyatorov”, Matematicheskie modeli mekhaniki, prochnost i nadezhnost konstruktsii, Trudy V Vserossiiskoi nauchnoi konferentsii, Chast 1 (1–4 iyunya 2009 g.), Matem. modelirovanie i kraev. zadachi, SamGTU, Samara, 2009, 215–221

[4] Ogorodnikov E. N., Yashagin N. S., “Nekotorye spetsialnye funktsii v reshenii zadachi Koshi dlya odnogo drobnogo ostsillyatornogo uravneniya”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 2009, no. 1(18), 276–279 | DOI

[5] Samko S. G., Kilbas A. A., Marichev O. I., Integraly i proizvodnye drobnogo poryadka i nekotorye ikh prilozheniya, Nauka i tekhnika, Minsk, 1987, 688 pp. | MR | Zbl