具有脉冲的分数阶Bagley-Torvik 模型边值问题
Boundary Value Problems for Fractional Order Bagley-Torvik Models with Impulse Effects

将具有脉冲的分数阶Bagley-Torvik微分方程边值问题巧妙地转化为积分方程, 定义加权Banach空间及全连续算子, 运用不动点定理获得该边值问题解的存在性定理. 举例说明了定理的应用. 最后提出有趣的研究问题.
The author converts the boundary value problem for impulsive fractional order Bagley-Torvik differential equation to an integral equation technically (a new method). By defining a weighted function Banach space and a completely continuous operator, some existence results for solutions are established. This analysis relies on the well known Schauder's fixed point theorem. Examples are given to illustrate the main results.