中文摘要：

研究了一类非线性分数阶微分方程初值问题的奇异摄动．在适当的条件下，利用边界层函数法构造出原问题解的形式渐近展开式，并利用最近发展的分数阶微分不等式理论证明了渐近解的一致有效性．

英文摘要：

A kind of initial value problems for singularly perturbed nonlinear fractional differential equations is discussed. Under suitable conditions, the boundary layer function method is used to construct the formal asymptotic expansion of the original problem. The validity of solution is proved by using recently developed theory of fractional differential inequalities.