Existence, uniqueness and stability of semilinear nonautonomous impulsive systems on time scales

Existence, uniqueness, and Hyers-Ulam stability of abstract neutral differential equation containing state-dependent fractional integrable impulses

“…Answers to Ulam's question, its attractions and inductions for various situations is an important area of research and is known as Ulam's stability. For detailed information about Ulam's stability, we recommend [12,30,31,34,35,37,[41][42][43][44] and references therein.…”

Analysis of fractional integro causal evolution impulsive systems on time scales

“…Furthermore, Hyers result was generalized by Rassias [24], so this notion is given a name known as Ulam-Hyers-Rassias stability. For more information, we recommend previous studies [25][26][27][28][29][30][31][32][33][34][35].…”

Analysis of Existence and Stability Results for Impulsive Fractional Integro-Differential Equations Involving the Atangana–Baleanu–Caputo Derivative under Integral Boundary Conditions

“…Ulam discovered that the question of whether a proposition's claim genuinely obeys, or generally holds, if the hypothesis is slightly altered, is a prevalent and important one in many domains and has drawn the attention of many scholars. Tat is referred to as the Hyers-Ulam stability problem [32][33][34][35][36][37][38].…”