Fractional order models have proven to be a very useful tool for the modeling of the mechanical behaviour of viscoelastic materials. Traditional numerical solution methods exhibit various undesired properties due to the non-locality of the fractional differential operators, in particular regarding the high computational complexity and the high memory requirements. The infinite state representation is an approach on which one can base numerical methods that overcome these obstacles. Such algorithms contain a number of parameters that influence the final result in nontrivial ways. Based on numerical experiments, we initiate a study leading to good choices of these parameters.

翻译：事实证明,小数顺序模型是模拟粘胶材料机械行为的一个非常有用的工具,传统的数字解决方案方法由于分数差操作员不当地而显示出各种不理想的特性,特别是在计算复杂程度高和内存要求高方面。无限的国家代表制是一种方法,人们可以以此为基础确定数字方法,克服这些障碍。这种算法包含一些参数,影响最终结果,形成非原始方法。根据数字实验,我们开始一项研究,以便对这些参数作出良好的选择。