On implicit impulsive Langevin equation involving mixed order derivatives

Abstract

Abstract In this paper, we consider a nonlocal boundary value problem of nonlinear implicit impulsive Langevin equation involving mixed order derivatives. Sufficient conditions are constructed to discuss the qualitative properties like existence and Ulam’s stability of the proposed problem. The main result is verified by an example.

Keywords

• Langevin equation
• Caputo derivative
• Non–instantaneous impulses
• Ulam–Hyers–Rassias stability