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.

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