This study introduces a new and promising stability approach for Caputo-Fabrizio (CF)-fractional-order system. A new fractional comparison principle for this nonsingular kernel fractional derivative is proposed. Next, a key inequality is suggested to analysis the Lyapunov-based stability of assumed systems. Afterwards, class-K functions are established to analysis of fractional Lyapunov direct method. At last, an explanatory example is given to validate the proposed idea. This new and novel approach can be expanded to the other types of nonsingular kernel derivatives due to a simple and effective idea beyond the proposed procedure.

中文翻译：

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具有非奇异核导数的分数阶系统的新Lyapunov稳定性分析

这项研究为Caputo-Fabrizio（CF）-分数阶系统引入了一种新的且有希望的稳定性方法。提出了这种非奇异核分数阶导数的新分数比较原理。接下来，提出了一个关键的不等式来分析假设系统的基于Lyapunov的稳定性。然后，建立K类函数以分析分数Lyapunov直接法。最后，给出了一个说明性例子来验证所提出的想法。由于一种简单有效的方法，可以将这种新颖的方法扩展到其他类型的非奇异核派生类。