论文标题
关于修改的分数麦克斯韦模型的注释
A note on a modified fractional Maxwell model
论文作者
论文摘要
在本文中，我们根据HADAMARD型分数衍生物的应用考虑了修改的分数Maxwell模型。该模型是由于我们可以在同一时间内记忆效应和粘度系数的时间依赖性时考虑的事实。我们获得了一个超慢的弛豫响应，其明确的分析形式由Mittag-Leffler函数和对数参数给出。我们以渐近行为的形式以图形方式显示了这种放松反应的主要特性。
In this paper we consider a modified fractional Maxwell model based on the application of Hadamard-type fractional derivatives. The model is physically motivated by the fact that we can take into account at the same time memory effects and the time-dependence of the viscosity coefficient. We obtain an ultra-slow relaxation response whose explicit analytic form is given by the Mittag-Leffler function with a logarithmic argument. We show graphically the main properties of this relaxation response, also with the asymptotic behaviour.
