TY - JOUR AU - Salem, Ahmed AU - Alzahrani, Faris AU - Almaghamsi, Lamya PY - 2019 TI - Langevin equation involving one fractional order with three-point boundary conditions JO - Journal of Nonlinear Sciences and Applications SP - 791--798 VL - 12 IS - 12 AB - 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. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.012.12.02 DO - 10.22436/jnsa.012.12.02 ID - Salem2019 ER - TY - JOUR TI - Solvability of Nonlinear Langevin Equation Involving Two Fractional Orders with Dirichlet Boundary Conditions AU - B. Ahmad AU - J. J. Nieto JO - Int. J. Differ. Equ. 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