After defining the fractional \(\varLambda \)-derivative, having all the prerequisites for corresponding to a differential, the fractional \(\varLambda \)-strain has already been established. Furthermore, only globally variational principles are allowed in the context of fractional analysis. Hence, balance laws, yielding the various field equations in \(\Lambda \)-fractional continuum mechanics, are derived, allowing corners in their fields. The basic balance laws of mass, linear and rotational momentum, and energy conservation with jump conditions are derived in the context of \(\Lambda \)-fractional analysis.

中文翻译：

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在 $$\Lambda $$ - 分数连续介质力学场上

定义了分数阶导数后，具备了对应微分的所有先决条件，分数阶应变就已经建立了。此外，在分数分析的背景下只允许全局变分原理。因此，导出了平衡定律，产生\(\Lambda \)分数连续介质力学中的各种场方程，并允许其场中存在角点。质量、线性和旋转动量以及跳跃条件下的能量守恒的基本平衡定律是在\(\Lambda \)分数分析的背景下导出的。