一类 Caputo 型分数阶微分方程正解的存在唯一性

摘要

利用混合单调算子的不动点定理，研究了一类Caputo型分数阶微分方程正解的存在唯一性。主要结果不仅保证了正解的存在唯一性，而且能构造迭代序列逼近此解。%In this paper ,by means of the fixed point theorem for mixed monotone operator ,the existence and uniqueness of positive solution for a class of fractional differential equation with caputo ’s derivative were researched .Main results can not just guarantee the existence and uniqueness of positive solution ,moreover be applied to construct an iterative scheme for approximating the solution .