%0 Journal Article %T Langevin equation involving one fractional order with three-point boundary conditions %A Salem, Ahmed %A Alzahrani, Faris %A Almaghamsi, Lamya %J Journal of Nonlinear Sciences and Applications %D 2019 %V 12 %N 12 %@ ISSN 2008-1901 %F Salem2019 %X In this paper, we investigate a class of nonlinear Langevin equation involving one fractional order \(\alpha\in(0, 1]\) with three-point boundary conditions. By the Banach contraction principle and Krasnoselskii's fixed point theorem, the existence and uniqueness results of solutions are obtained. Two examples are given to show the applicability of our main results. %9 journal article %R 10.22436/jnsa.012.12.02 %U http://dx.doi.org/10.22436/jnsa.012.12.02 %P 791--798 %0 Journal Article %T Solvability of Nonlinear Langevin Equation Involving Two Fractional Orders with Dirichlet Boundary Conditions %A B. Ahmad %A J. J. Nieto %J Int. J. Differ. 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