| 分数阶脉冲微分方程组边值问题解的存在性 |
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| 引用本文： | 江卫华,李海明.分数阶脉冲微分方程组边值问题解的存在性[J].河北科技大学学报,2015,36(2):134-143. |
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| 作者姓名： | 江卫华 李海明 |
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| 作者单位： | 河北科技大学理学院,河北石家庄,050018 |
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| 基金项目： | 国家自然科学基金，河北省自然科学基金，河北省自然科学基金 |
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| 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。
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| 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 |
| 收稿时间： | 2014/10/13 0:00:00 |
| 修稿时间： | 2015/1/28 0:00:00 |
Existence of solutions for boundary value problem of fractional order impulsive differential equations systems |
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| JIANG Weihua and LI Haiming.Existence of solutions for boundary value problem of fractional order impulsive differential equations systems[J].Journal of Hebei University of Science and Technology,2015,36(2):134-143. |
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| Authors: | JIANG Weihua and LI Haiming |
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| Institution: | JIANG Weihua;LI Haiming;School of Science,Hebei University of Science and Technology; |
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| Abstract: | 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. |
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| Keywords: | numerical solution of ordinary differential equations contraction mapping principle differential equations impulsive fractional calculus boundary value problem |
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