【摘要】 该文研究了下面分数阶微分方程边值问题格林函数的相关性质D₀₊^αu（t）=f（t,u（t））,0<t<1,u（0）=u（1）=u′（0）=u′（1）=0,其中3<α≤4是实数,D₀₊^α是标准的Riemann-Liouville微分,f:[0,1]×[0,∞)→[0,∞)连续.应用格林函数的性质构造了锥,从而应用一些不动点定理得到了正解的存在性.更多还原

【Abstract】 In this paper,the authors consider the properties of Green’s function for the nonlinear fractional differential equation boundary-value problem D₀₊^αu（t）=f（t,u（t））,0<t<1, u（0）=u（1）=u’（0）=u’（1）=0, where 3<α≤4 is a real number,and D₀₊^αis the standard Riemann-Liouville differentiation, and f:[0,1]×[0.∞)→[0,∞)is continuous.As an application of Green’s function,the authors give some multiple positive solutions for nonlinear by means of some fixed-point theorem on cones.更多还原