On a New Class of Constitutive Equations for Linear Viscoelastic Body

被引：0
作者：
Diana Dolićanin-Đekić
机构：
[1] Faculty of Technical Sciences University of Priština–Kosovska Mitrovica,Dept. of Mathematics
[2] University of Novi Pazar Vuka Karadzića bb,Dept. of Mathematics
来源：
Fractional Calculus and Applied Analysis | 2017年 / 20卷
关键词：
Primary 26A33; Secondary 74D05, 74A15; real and complex order fractional derivatives, n]constitutive equation, n]dissipativity condition;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study a viscoelastic body involving a constitutive equation with distributed order fractional derivatives of complex order. Using a dissipation inequality in a weak form, we derive a sufficient conditions on coefficients of a model that guarantee that the Second law of thermodynamics under isothermal conditions is satisfied. Several known constitutive equations follow from our model as special cases. As an application, a new constitutive equation is related to an equation of motion of a generalized linear oscillator.
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页码：521 / 536
页数：15
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