Space-time fractional Zener wave equation

被引：10

作者：

Atanackovic, T. M. ^{[1
]}

Janev, M. ^{[2
]}

Oparnica, Lj. ^{[3
]}

Pilipovic, S. ^{[4
]}

Zorica, D. ^{[2
]}

机构：

[1] Univ Novi Sad, Fac Tech Sci, Dept Mech, Novi Sad 21000, Serbia

[2] Serbian Acad Arts & Sci, Math Inst, Belgrade 11000, Serbia

[3] Univ Novi Sad, Fac Educ Sombor, Sombor 25000, Serbia

[4] Univ Novi Sad, Fac Nat Sci & Math, Dept Math, Novi Sad 21000, Serbia

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2015年 / 471卷 / 2174期

关键词：

fractional Zener model; fractional strain measure; Laplace and Fourier transforms; Cauchy problem; generalized solution; EXACT MECHANICAL MODELS; DISTRIBUTED-ORDER; HEREDITARY MATERIALS; DIFFUSION-EQUATIONS; CALCULUS APPROACH; ELASTICITY; CONTINUA;

D O I：

10.1098/rspa.2014.0614

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The space-time fractional Zener wave equation, describing viscoelastic materials obeying the time-fractional Zener model and the space-fractional strain measure, is derived and analysed. This model includes waves with finite speed, as well as non-propagating disturbances. The existence and the uniqueness of the solution to the generalized Cauchy problem are proved. Special cases are investigated and numerical examples are presented.

引用

页数：25

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