On a Generalized Wave Equation with Fractional Dissipation in Non-Local Elasticity-Reference-Cited by-同舟云学术

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

Published:2023-09-08 Issue:18 Volume:11 Page:3850
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Atanackovic Teodor M.¹^ORCID,Djekic Diana Dolicanin²^ORCID,Gilic Ersin³^ORCID,Kacapor Enes³^ORCID

Affiliation:

1. Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovica 5, 21000 Novi Sad, Serbia

2. Faculty of Technical Sciences, University of Pristina, Knjaza Milosa 7, 38220 Mitrovica, Serbia

3. Department of Sciences and Mathematics, State University of Novi Pazar, Vuka Karadzica 9, 36300 Novi Pazar, Serbia

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.

Funder

State University of Novi Pazar

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/18/3850/pdf

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