摘要：In this paper, we firstly establish the existence and uniqueness of solutions of the operator equation $A(x,x) B(x,x) C(x) e = x$ , where A and B are two mixed monotone operators, C is a decreasing operator, and $e\in P$ with $\theta \leq e \leq h$ . Then, using our abstract theorem, we prove a class of fractional boundary value problems with the derivative term to have a unique solution and construct the corresponding iterative sequences to approximate the unique solution.
关键词：Existence and uniqueness ; Mixed monotone operator ; Decreasing operator ; Derivative term ; Fractional equation
