具有Caputo导数的分数阶微分方程比较定理的推广*

摘要

考虑到现有的分数阶微分方程比较定理中的阶数α的取值范围是（0，1），此条件限制了它的适用范围。因此将具有Caputo导数的分数阶微分方程比较定理中的阶数α的取值范围推广到（n-1，n），n∈Z+，从而得到具有Caputo导数的分数阶微分方程解自身大小的比较定理。%In this paper,we take into account that the ranges of the order of comparison theorem of fractional Differential Equations isα∈(0,1),and this condition restricts the scope of this theorem. Therefore,we extend the order of the comparison theorem toα∈(n-1,n),n∈Z+,so that we can compare the solutions directly.