一类非线性分数阶微分方程三个正解的存在性

The Existence of Three Positive Solutions for a Class of Nonlinear Fractional Differential Equations

运用锥上的Avery-Henderson不动点定理研究了一类非线性分数阶微分方程边值问题^(c)D_(0)^(α)+u t+f t,u t,u′t=0,0<t<1,u 0=u″0=0,u′1=γuη正解的存在性,给出了这类微分方程边值问题存在至少三个正解的一个充分条件.

In this paper,the existence of positive solutions for a class of nonlinear fractional differential equation s^(c)D_(0)^(α)+u t+f t,u t,u′t=0,0<t<1,u 0=u″0=0,u′1=γuηis investigated by the application of the well-known Avery-Henderson fixed-point theorem in cones,and a sufficient condition for the existence of at least three positive solutions is obtained.