一类分数阶微分方程耦合系统Robin边值问题正解的存在性

The Existence of Positive Solution to Robin Boundary Value Problems for a Class of Coupled Systems of Fractional Differential Equations

讨论一类非线性分数阶微分方程耦合系统的Robin边值问题,应用Schauder不动点定理证明正解的存在性,然后利用Adomian分解方法求出该边值问题的近似解.另外,给出一个数值例子来说明我们主要结果的应用.

This article investigates a Robin boundary value problem for a class of coupled systems of nonlinear fractional differential equations. By applying the Schauder fixed point theorem, an existence result of positive solutions is obtained. Then approximate solution of the boundary value problem by using Adomiandecomposition method is obtained. In addition, a numerical example is presented to demonstrate the application of our main result.