Stability analysis of generalized neutral fractional differential systems with time delays

Abstract This paper addresses the finite-time stability of generalized neutral fractional systems with time delays. Firstly, the bivariate Mittag-Leffler type matrix function is introduced and some new estimations for the Mittag-Leffler function in terms of the exponential function are deduced. Additionally, based on the ρ -Laplace transform, the properties of the Mittag-Leffler function and the generalized Gronwall inequality, a new criterion on finite-time stability is obtained. Finally, a numerical example is hence proposed to validate theoretical findings.