一类非线性分数阶微分方程边值问题的正解

Positive Solutions for Boundary Value Problems of Nonlinear Fractional Differential Equation

讨论以下非线性分数阶边值问题：cD（0＋）αu（t）＋λa（t）f（u（t））=0,00.利用Krasnoselskiis不动点定理,得到其正解存在与不存在的充分条件,最后给出一个例子验证我们的结论.

In this paper, we investigate the existence and nonexistence of positive solutions for the nonlinear fractional boundary value problem：cD（0＋）αu（t）＋λa（t）f（u（t））=0,00, where 2 〈 α 3 is a real number and CD0a＋ is the standard Caputo differentiation. λ 〉 0. Our analysis relies on Krasnoselskiis fixed point theorem of cone preserving operators. An example is also given to illustrate the main results.