TY - JOUR AU - Thaiprayoon, Chatthai AU - Ntouyas, Sotiris K. AU - Tariboon, Jessada PY - 2015 DA - 2015/12/10 TI - On the nonlocal Katugampola fractional integral conditions for fractional Langevin equation JO - Advances in Difference Equations SP - 374 VL - 2015 IS - 1 AB - In this paper, we study the existence and uniqueness of solutions for a problem consisting of nonlinear Langevin equation of Riemann-Liouville type fractional derivatives with the nonlocal Katugampola fractional integral conditions. A variety of fixed point theorems are used such as Banach’s fixed point theorem, Krasnoselskii’s fixed point theorem, Leray-Schauder’s nonlinear alternative, and Leray-Schauder degree theory. Enlightening examples of the obtained results are also presented. SN - 1687-1847 UR - https://doi.org/10.1186/s13662-015-0712-3 DO - 10.1186/s13662-015-0712-3 ID - Thaiprayoon2015 ER -