MMN-4990
Stability of conformable non-autonomous non-instantaneous impulsive differential equations
Yuanlin Ding;Abstract
This paper focus on a type of conformable non-autonomous non-instantaneous impulsive equation. Firstly, we give a kind of non-autonomous conformable Cauchy matrix to present the solution of linear and nonlinear systems. Then, we investigate the asymptotic stability of linear homogeneous problem and the exponential stability of linear perturbed problem. Also, one presents the solution of nonlinear problem and verifies its Ulam-Hyers-Rassias stability.
Vol. 26 (2025), No. 2, pp. 727-748