一类分数阶微分方程初值问题的正解存在性

Existence of Positive Solutions to Initial Value Problem for a Nonlinear Fractional Differential Equation

文章主要讨论了一类分数阶微分方程Dαu(t)=f(t,u),0<t<1,2<α≤3初值问题正解的存在性与唯一性.主要运用了Arzela-Ascoli定理与不动点定理进行讨论与研究.

In this paper we discuss the existence of positive solutions to initial value problem for a nonlinear fractional differential equation of the form Dαu（t）=f（t,u）,0〈t〈1,2α≤3.Our analysis relies on Arzela-Ascoli theorem and Banach fixed point theorem.