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Distributed-order fractional wave equation on a finite domain: creep and forced oscillations of a rod

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Abstract

We study waves in a rod of finite length with a viscoelastic constitutive equation of distributed fractional order type for the special choice of weight functions. Prescribing boundary conditions on displacement and stress, we obtain, as special solutions, cases corresponding to creep and forced oscillations. In solving system of differential and integro-differential equations, we use the Laplace transformation in the time domain.

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Authors and Affiliations

  1. Department of Mechanics, Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovica 6, 21000, Novi Sad, Serbia

    Teodor M. Atanackovic

  2. Department of Mathematics, Faculty of Natural Sciences and Mathematics, University of Novi Sad, Trg D. Obradovica 3, 21000, Novi Sad, Serbia

    Stevan Pilipovic

  3. Faculty of Civil Engineering, University of Novi Sad, Kozaracka 2a, 24000, Subotica, Serbia

    Dusan Zorica

Authors
  1. Teodor M. Atanackovic
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  2. Stevan Pilipovic
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  3. Dusan Zorica
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Correspondence to Dusan Zorica.

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Communicated by Stefan Seelecke.

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Atanackovic, T.M., Pilipovic, S. & Zorica, D. Distributed-order fractional wave equation on a finite domain: creep and forced oscillations of a rod. Continuum Mech. Thermodyn. 23, 305–318 (2011). https://doi.org/10.1007/s00161-010-0177-2

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  • DOI: https://doi.org/10.1007/s00161-010-0177-2

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