类2α分数阶微分方程边值问题的奇摄动

Singular Perturbation BoundaryValue Problem for a Fractional Differential Equation of Order 2α

摘要: 研究一类2α分数阶奇异摄动微分方程的边值问题，利用边界层函数法及伸长变量法构造一类分数阶微分方程的形式渐近解，并利用微分不等式理论证明了解的一致有效性。

Abstract: Boundary value problem of a class of singularly perturbed fractional differential equation with order 2 α is considered. By using the boundary layer function method and the stretched variable method, a formal solution of fractional differential equation is constructed, and the uniformly valid asymptotic expansion of solution is proved.