Finite‐time stability of fractional delay differential equations involving the generalized Caputo fractional derivative with non‐instantaneous impulses

Abstract

For the first time, the result on finite‐time stability (FTS) for fractional delay differential equations with non‐instantaneous impulses (NI‐FDDEs) involving the generalized Caputo fractional derivative is presented. Based on an extensive estimation of the fractional integral inequality provided in this paper, a sufficient condition is proposed to the FTS of NI‐FDDEs. Some examples are provided to illustrate our theoretical results.