In this paper we investigate the dynamics of a multidimensional viscoelastic continuum which subjects the fractional anti-Zener constitutive law with memory along trajectories of the velocity field. A weak solvability of a corresponding initial-boundary value problem is established.

中文翻译：

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具有记忆的连续体一个粘弹性分数动力学模型的弱可解性

在本文中，我们研究了多维粘弹性连续体的动力学，该动力学沿速度场的轨迹服从分数反Zener本构关系并具有记忆。建立了相应的初始边界值问题的弱可解性。