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Differential Equations with Fractional Derivatives for Studying an Oscillator with Viscoelastic Damping

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Proceedings of FORM 2021

Part of the book series: Lecture Notes in Civil Engineering ((LNCE,volume 170))

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Abstract

The paper considers differential equations with fractional derivatives used for describing the functioning of an oscillator with viscoelastic damping as well as diffusion processes. On the basis of a mathematical model with fractional derivatives, the present research deals with the qualitative parameter of the model to confirm the consistency of the given process with experimental data. An analysis of recent publications on this topic has been carried out and a method of obtaining a qualitative assessment of the obtained mathematical model is given. The presented approach was tested in a numerical experiment using the developed software.

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Author information

Authors and Affiliations

  1. Ulyanovsk State University, Lev Tolstoy Street, 42, Ulyanovsk, 432017, Russia

    Alexander Andreev

  2. Moscow State University of Civil Engineering, Yaroslavskoe shosse, 26, Moscow, 129337, Russia

    Temirkhan Aleroev

  3. Grozny State Oil Technical University Named After Academician M. D. Millionshchikov, Kh. A. Isaev Avenue, 100, Grozny, 364051, Russia

    Mohammad Khasambiev

  4. Moscow Technical University of Communications and Informatics, Aviamotornaya str., 8a, Moscow, 111024, Russia

    Hedi Aleroeva

Authors
  1. Alexander Andreev
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  2. Temirkhan Aleroev
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  3. Mohammad Khasambiev
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  4. Hedi Aleroeva
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Editor information

Editors and Affiliations

  1. Moscow State University of Civil Engineering, Moscow, Russia

    Pavel Akimov

  2. Peter the Great St. Petersburg Polytechnic University, Saint Petersburg, Russia

    Nikolai Vatin

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Andreev, A., Aleroev, T., Khasambiev, M., Aleroeva, H. (2022). Differential Equations with Fractional Derivatives for Studying an Oscillator with Viscoelastic Damping. In: Akimov, P., Vatin, N. (eds) Proceedings of FORM 2021. Lecture Notes in Civil Engineering, vol 170. Springer, Cham. https://doi.org/10.1007/978-3-030-79983-0_43

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  • DOI: https://doi.org/10.1007/978-3-030-79983-0_43

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-79982-3

  • Online ISBN: 978-3-030-79983-0

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