Work

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

Year: 2023

Type: article

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.

Source: Mathematics

DOI: 10.3390/math11183850

Authors: Teodor M. Atanackovic, Diana Dolicanin Djekic, Ersin Gilic, Enes Kacapor

Institutions: University of Novi Sad, University of Prishtina, State University of Novi Pazar

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,336

OpenAlex ID: W4386601239

FWCI: 1.235

Cites: 17

Cited by: 7

Related to: 10