Abstract：The existence and uniqueness of nontrivial solutions for a class of higher-order nonlinear fractional order three-point boundary value problems are studied， mainly through nonlinear operator equations x＝A(x，x)＋B(x，x)＋e in ordered real Banach spaces， A，B are mixed monotone operators. Using the fixed point theorem on cones， the existence and uniqueness of nontrivial solutions are obtained， and two iterative sequences are constructed to approximate the approximate solutions. In addition， as our main result application， an example is given to illustrate.
韩 伟,原战琴. 高阶非线性分数阶微分方程解的存在性和唯一性[J]. 华中师范大学学报(自然科学版), 2021, 55(1): 7-14.
HAN Wei,YUAN Zhanqin. Higher order nonlinear fractional differential equation existence and uniqueness of solutions. journal1, 2021, 55(1): 7-14.
2021, Vol. 55 
