  This work deals with the finite time stability of generalized proportional
fractional systems with time delay. First, based on the generalized
proportional Gr\"onwall inequality, we derive an explicit criterion that
enables the system trajectories to stay within a priori given sets during a
pre-specified time interval, in terms of the Mittag-Leffler function. Then, we
investigate the finite time stability of nonlinear nonhomogeneous delayed
systems by means of an approach based on H\"older's and Jensen's inequalities.
Numerical applications are presented to illustrate the validity and feasibility
of the developed results.
