Abstract：It is concerned with a class of eigenvalue problems of fractional differential equations with nonlinear integral boundary conditions and a disturbance parameter on the infinite interval in this paper. By using the fixed point theorem for a sum operator with a parameter， the maximum eigenvalue interval for the existence of the unique positive solution for the eigenvalue problem is established and it is showed that such a positive solution depends continuously on parameters. In particular， an estimate for the critical value of parameters is given. Finally， a example is given to illustrate our main results.
郭晓珍,王文霞. 无穷区间上分数阶积分边值问题正解的存在唯一性[J]. 华中师范大学学报(自然科学版), 2022, 56(5): 752-757.
GUO Xiaozhen,WANG Wenxia. Existence and uniqueness of positive solutions for fractional integral boundary value problems on the infinite interval. journal1, 2022, 56(5): 752-757.
2022, Vol. 56 
