用单调迭代方法求解非线性分数阶微分方程

Monotone Iterative Method for Solving Nonlinear Fractional Differential Equations

利用上下解和单调迭代技巧,通过建立一个新的比较原理,解决了一类非线性分数阶微分方程的初值问题,得到了初值问题极解的存在性结果.

By using the method of upper and lower solutions and the monotone iterative technique, we solved the initial value problem of a class of nonlinear fractional differential equations by establishing a new comparison principle, and obtained the result of the existence of extremal solutions of the initial problem.