TY - JOUR AU - Zhai, Chengbo AU - Wang, Fang PY - 2015 DA - 2015/12/01 TI - Properties of positive solutions for the operator equation $Ax=\lambda x$and applications to fractional differential equations with integral boundary conditions JO - Advances in Difference Equations SP - 366 VL - 2015 IS - 1 AB - In this article we present a new fixed point theorem for a class of generalized concave operators and we establish some properties of positive solutions for the operator equation $Ax=\lambda x$. Based on them, the existence and uniqueness of positive solutions for a class of fractional differential equations with integral boundary conditions is proved. Moreover, we present some properties of positive solutions to the boundary value problem dependent on the parameter. SN - 1687-1847 UR - https://doi.org/10.1186/s13662-015-0704-3 DO - 10.1186/s13662-015-0704-3 ID - Zhai2015 ER -