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中文摘要：
研究了一类非线性分数阶微分方程加权初值问题的奇异摄动.在适当的条件下,首先求出了原问题的外部解,然后利用边界层函数法构造出解的初始层项,并由此得到解的形式渐近展开式,最后利用微分不等式理论,讨论了问题解的渐近性态,得到了原问题解的一致有效的渐近估计式.
英文摘要：
A kind of weighted initial value problems for singularly perturbed nonlinear fractional differential equations is discussed.Under suitable conditions,the outer solution of the original problem is obtained.Then the boundary layer function method is used to construct the initial layer.Finally, using differential inequalities,the asymptotic behavior of the solutions for such problems is studied and the uniformly valid asymptotic estimation is discussed.
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