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

被引：0

作者：

Atanackovic, Teodor M. ^{[1
]}

Djekic, Diana Dolicanin ^{[2
]}

Gilic, Ersin ^{[3
]}

Kacapor, Enes ^{[3
]}

机构：

[1] Univ Novi Sad, Fac Tech Sci, Trg D Obradov 5, Novi Sad 21000, Serbia

[2] Univ Pristina, Fac Tech Sci, Knjaza Milosa 7, Kosovska Mitrovica 38220, Serbia

[3] State Univ Novi Pazar, Dept Sci & Math, Vuka Karadz 9, Novi Pazar 36300, Serbia

来源：

MATHEMATICS | 2023年 / 11卷 / 18期

关键词：

wave propagation; general fractional derivative of Riesz type; fractional differential equations; MECHANICS;

D O I：

10.3390/math11183850

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：13

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