Abstract The aim of the study is to obtain the solutions of linear fractional differential equations including various orders of Caputo fractional derivatives in terms of Mittag-Leffler function by using its properties. Moreover, the stability and properties of the solutions are investigated based on the form and the roots of the characteristic equation. Finally, the results are illustrated by examples

中文翻译：

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关于线性分数阶微分方程解的构造与稳定性分析

摘要 本研究的目的是利用Mittag-Leffler函数的性质，得到包含各种阶Caputo分数阶导数的线性分数阶微分方程的解。此外，基于特征方程的形式和根研究了解的稳定性和性质。最后用例子说明结果