|Title:||Complex fractional Zener model of wave propagation in||Journal:||Fractional Calculus and Applied Analysis||Volume:||21||Issue:||5||First page:||1313||Last page:||1334||Issue Date:||25-Oct-2018||Rank:||M21a||ISSN:||1311-0454||DOI:||10.1515/fca-2018-0069||Abstract:||
The classical wave equation is generalized within fractional framework, by using fractional derivatives of real and complex order in the constitutive equation, so that it describes wave propagation in one dimensional infinite viscoelastic rod. We analyze existence, uniqueness and properties of solutions to the corresponding initial-boundary value problem for generalized wave equation. Also, we provide a comparative analysis with the case of the same equation but considered on a bounded or half-bounded spatial domain. We conclude our investigation with a numerical example that illustrates obtained results.
|Keywords:||constitutive equation | fractional derivative of complex order | thermodynamical restriction | wave propagation||Publisher:||de Gruyter||Project:||Viscoelasticity of fractional type and shape optimization in a theory of rods
Methods of Functional and Harmonic Analysis and PDE with Singularities
Development of Dialogue Systems for Serbian and Other South Slavic Languages
Biosensing Technologies and Global System for Long-Term Research and Integrated Management of Ecosystems
Provincial Secretariat for Science, Grant no. 114-451-2098
Show full item record
checked on May 20, 2022
checked on Apr 8, 2022
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.