Stability Analysis Of First-Order Impulsive Nonautonomous System On Timescales

In this manuscript, we present the existence, uniqueness, beta-Ulam-Hyers stability, and beta-Ulam-Hyers-Rassias stability of semilinear nonautonomous impulsive dynamic systems on timescales, with the help of fixed point approach. We use Gronwall inequality on timescale, abstract Growall lemma, and Picard operator as basic tools to develop our main results. At the end, an example is given to demonstrate the validity of our main theoretical result.