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 exis- tence 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.