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Solvability for impulsive fractional Langevin equation
Mengrui Xu,Shurong Sun
Keywords:Fractional Langevin equation; Impulsive; Fractional differential equations; Boundary value problems
Abstract:
      We investigate impulsive fractional Langevin equation involving two fractional Caputo derivatives with boundary value conditions. By Banach contraction mapping principle and Krasnoselskii's fixed point theorem, some results on the existence and uniqueness of solution are obtained.