The existence and uniqueness of positive solutions for a class of boundary value problems of arbitrary fractional order differential equations with deviated arguments
DUAN Yonghong1， WANG Wenxia2
(1.Department of Mathematics， Taiyuan College， Taiyuan 030032， China；2.Department of Mathematics， Taiyuan Normal University， Jinzhong， Shanxi 030619， China)
Abstract：In this paper， the existence and uniqueness of positive solutions for a class of boundary value problems of arbitrary fractional order nonlinear differential equations with deviated arguments is studied. By using the cone theory and the fixed point theorem for the sum of mixed monotone operators， sufficient conditions for existence of the unique positive solution for the boundary value problems are obtained. An example is given to illustrate theoretical results.
段永红,王文霞. 一类带有偏差量的任意分数阶非线性微分方程边值问题唯一正解的存在性[J]. 华中师范大学学报(自然科学版), 2022, 56(4): 567-572.
DUAN Yonghong,WANG Wenxia. The existence and uniqueness of positive solutions for a class of boundary value problems of arbitrary fractional order differential equations with deviated arguments. journal1, 2022, 56(4): 567-572.
2022, Vol. 56 
