分数阶微分方程耦合系统多点积分边值问题的解

Solutions for multi-point boundary value problem of coupled system of fractional differential equations with integral boundary conditions

文中讨论了一类非线性Caputo型分数阶微分方程耦合系统多点积分边值问题解的存在性。在一定条件下,给出格林函数,用Schauder不动点定理得到了解存在的充分条件。数值算例说明了所得定理的适用性。

This paper discusses the existence of solutions to multi-point boundary value problem of a coupled system of nonlinear fractional differential equations with integral boundary conditions.In certain conditions,the study starts with Green＇s function,followed by the sufficient conditions for the existence of solutions obtained by using Schauder fixed point theorem.The study ends with the illustration of the applicability of the theorem by a numerical example.