On a Generalized Wave Equation with Fractional Dissipation in Non-Local Elasticity

Teodor M. Atanackovic (), Diana Dolicanin Djekic, Ersin Gilic and Enes Kacapor
Additional contact information
Teodor M. Atanackovic: Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovica 5, 21000 Novi Sad, Serbia
Diana Dolicanin Djekic: Faculty of Technical Sciences, University of Pristina, Knjaza Milosa 7, 38220 Mitrovica, Serbia
Ersin Gilic: Department of Sciences and Mathematics, State University of Novi Pazar, Vuka Karadzica 9, 36300 Novi Pazar, Serbia
Enes Kacapor: Department of Sciences and Mathematics, State University of Novi Pazar, Vuka Karadzica 9, 36300 Novi Pazar, Serbia

Mathematics, 2023, vol. 11, issue 18, 1-13

Abstract: We analyze wave equation for spatially one-dimensional continuum with constitutive equation of non-local type. The deformation is described by a specially selected strain measure with general fractional derivative of the Riesz type. The form of constitutive equation is assumed to be in strain-driven type, often used in nano-mechanics. The resulting equations are solved in the space of tempered distributions by using the Fourier and Laplace transforms. The properties of the solution are examined and compared with the classical case.

Keywords: wave propagation; general fractional derivative of Riesz type; fractional differential equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/18/3850/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/18/3850/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:18:p:3850-:d:1236015

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().