分数阶脉冲微分方程组边值问题解的存在性  

Existence of solutions for boundary value problem of fractional order impulsive differential equations systems

作　　者：江卫华[1] 李海明[1] 

机构地区：[1]河北科技大学理学院,河北石家庄050018

出　　处：《河北科技大学学报》2015年第2期134-143,共10页Journal of Hebei University of Science and Technology

基　　金：国家自然科学基金(11171088);河北省自然科学基金(A2013208108);河北省自然科学基金(A2013208147)

摘　　要：通过定义合适的线性空间以及范数,给出恰当的算子,在非线性项和脉冲值满足一定的条件下,分别利用压缩映像原理和krasnoselskii不动点定理,研究了分数阶脉冲微分方程组边值问题解的存在性和唯一性,并给出例子说明所需要的条件是可以满足的。By defining appropriate linear space and norm, giving the appropriate operator, using the contraction mapping principle and krasnoselskii fixed point theorem respectively, the existence and uniqueness of solutions for boundary value problem of fractional order impulsive differential equations systems are investigated under certain condition that nonlinear term and pulse value are satisfied. An example is given to illustrate that the required conditions can be satisfied.

关 键 词：常微分方程数值解 压缩映像原理 微分方程组 脉冲 分数阶微积分 边值问题 

分 类 号：O175.8[理学—数学]