一类非线性分数阶微分方程耦合系统两点边值问题的可解性

Solvability of the two-point boundary value problem to a coupled system of nonlinear fractional differential equations

讨论了一类非线性分数阶微分方程耦合系统的两点边值问题,应用Green函数,将微分系统转化为等价的积分系统,应用Schauder不动点定理证明了系统的解的存在性.

This article investigated the two-point boundary value problem to a coupled system of nonlinear fractional dif- ferential equations. By the means of the Green＇s function,the boundary value problem of differential equation can be reduced to the equivalent integral equation. The existence of solution was obtained by using Schauder fixed point theorem.