Extended Lyapunov stability analysis to the power fractional differential equations

Stability of fractional differential equations using the Lyapunov direct method is investigated by employing the power fractional derivative which covers various types. This analysis begins by establishing fundamental results and lemmas crucial for achieving the study's objectives. Building on recent research, the work extends and generalizes findings related to exponential and Mittag–Leffler stability. Additionally, an illustrative example is presented to illustrate the practical applicability of these results.