Ulam–Hyers stability of fractional Langevin equations

In this paper, we discuss Ulam–Hyers stability of nonlinear fractional Langevin equations by using the boundedness, monotonicity and nonnegative properties of classical and generalized Mittag-Leffler functions. Further, the same problem for the associated impulsive systems is investigated. Finally, an example is given to illustrate our theoretical results.