一类非线性分数阶奇异耦合系统正解的存在性

Positive Solutions for a Class of Coupled Singular System of Nonlinear Fractional Differential Equations

讨论了一类非线性分数阶奇异耦合系统正解的存在性和唯一性,通过分数阶格林函数及其性质将微分系统转化为等价的积分系统,应用偏序上的不动点定理得到系统正解的存在性和唯一性.

In this work we discuss a boundary value problem for a coupled singular system of nonlinear fractional differential equations.The differential operator is taken in the standard Riemann-Liouville sense.By using Green＇function and its corresponding properties, we transform the derivative systems into equivalent integral systems. The existence and uniqueness of positive solution is based on a fixed theorem in partially ordered sets.