The present work is mainly stimulated by the definition of the general fractional-order derivative operator (GFODO) involving the Miller–Ross kernel in the sense of the Liouville–Sonine type. The novel emphasis is the introduction of the GFODO within the Miller–Ross kernel into the Maxwell model and Kelvin–Voigt model, thereby constructing viscoelastic constitutive models with the property of inheritance and memorability. It is noteworthy that the fractional viscoelasticity can capture the strain response within a wide range of strain rates. The procedure used in our paper to calculate the creep compliance of the proposed model is the Laplace transform, and then comparisons between the general fractional-order models and the classical integer-order models are presented. In summing up, it may be stated that the general fractional-order Kelvin–Voigt model exhibits a very different behavior compared to the classical Kelvin–Voigt model and it can describe the whole creep process including the accelerated creep stage.

目前的工作主要是由一般分数阶导数算子 (GFODO) 的定义激发的，该算子涉及 Liouville-Sonine 类型意义上的 Miller-Ross 核。新颖的重点是将 Miller-Ross 核中的 GFODO 引入 Maxwell 模型和 Kelvin-Voigt 模型，从而构建具有继承性和可记忆性的粘弹性本构模型。值得注意的是，分数粘弹性可以在很宽的应变率范围内捕获应变响应。我们论文中用于计算所提出模型的蠕变柔度的程序是拉普拉斯变换，然后介绍了一般分数阶模型和经典整数阶模型之间的比较。综上所述，