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Comparative Analysis of Viscoelastic Models Involving Fractional Derivatives of Different Orders

机译：涉及不同阶数分数阶导数的粘弹性模型的比较分析

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摘要

Mathematics Subject Classification: 74D05, 26A33

机译：数学学科分类：74D05、26A33

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作者
Rossikhin Yuriy; Shitikova Marina;
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年度 2007
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正文语种 en
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专利

1. Analysis of the Viscoelastic Rod Dynamics via Models Involving Fractional Derivatives or Operators of Two Different Orders [J] . Yuriy A. Rossikhin, Marina V. Shitikova The Shock and Vibration Digest . 2004,第1期

机译：通过涉及两种不同订单的分数衍生物或运营商的模型分析粘弹性棒动力学
2. Analysis of free vibrations of a viscoelastic oscillator via the models involving several fractional parameters and relaxation/retardation times [J] . Yu.A. Rossikhin, M.V. Shitikova, T.A. Shcheglova Computers & mathematics with applications . 2010,第5期

机译：通过涉及几个分数参数和弛豫/延迟时间的模型分析粘弹性振荡器的自由振动
3. Post-buckling analysis of viscoelastic plates with fractional derivative models [J] . J.T. Katsikadelis, N.G. Babouskos Engineering analysis with boundary elements . 2010,第12期

机译：分数阶导数模型对粘弹性板的屈曲后分析
4. The BEM for buckling analysis of viscoelastic plates modelled with fractional derivatives [C] . J. T. Katsikadelis, N. G. Babouskos International Conference on Boundary Elements and Other Mesh Reduction Methods . 2011

机译：分数衍生物模拟粘弹性板屈曲分析的BEM
5. REALIZING FRACTIONAL DERIVATIVES OF ELEMENTARY AND COMPOSITEFUNCTIONS THROUGH THE GENERALIZED EULER’S INTEGRALTRANSFORM AND INTEGER DERIVATIVE SERIES: BUILDINGTHE MATHEMATICAL FRAMEWORK TO MODEL THEFRACTIONAL SCHR ODINGER EQUATION INFRACTIONAL SPACETIME [D] . Gladkina, Anastasia. 2018

机译：通过广义EULER的积分形式和整数导数系列实现基本和复合函数的分数导数：建立数学框架以建模分数维SCHR Odinger方程分数空间
6. Fractional Derivative Models for Ultrasonic Characterization of Polymer and Breast Tissue Viscoelasticity [O] . Cecile Coussot, Sureshkumar Kalyanam, Rebecca Yapp, -1

机译：对于聚合物超声表征及乳腺组织黏弹性分数的衍生车型
7. Analysis of free vibrations of a viscoelastic oscillator via the models involving several fractional parameters and relaxation/retardation times [O] . Rossikhin Yu.A., Shitikova M.V., Shcheglova T.A. 2010

机译：通过涉及几个分数参数和弛豫/延迟时间的模型分析粘弹性振荡器的自由振动
8. Quadratic Optimal Control Theory for Viscoelastically Damped Structures Using a Fractional Derivative Viscoelasticity Model [R] . Walker, R. N. 1988

机译：用分数导数粘弹性模型研究粘弹性阻尼结构的二次最优控制理论

Comparative Analysis of Viscoelastic Models Involving Fractional Derivatives of Different Orders

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