带有混合边值条件的非线性分数阶脉冲微分方程的解

发布时间：2018-05-05 07:28

本文选题：分数阶脉冲微分方程 + 一般解　；参考：《东北师范大学》2017年硕士论文

【摘要】：最近关于分数阶脉冲微分方程的研究越来越多,这类方程被广泛应用于一些描述突发情况的实际数学模型中.受到最近一些研究成果的启发,本文研究了一种带有混合边值条件的非线性分数阶脉冲微分方程的解的存在情况,首先借助于脉冲的极限情况,得到了这类方程的一般解公式,然后,通过相应的不动点定理得到了更为细致的解的情况,并举例应用.
[Abstract]:Recently, more and more researches have been done on fractional impulsive differential equations, which have been widely used in some practical mathematical models for describing burst situations. Inspired by some recent research results, this paper studies the existence of solutions for nonlinear fractional impulsive differential equations with mixed boundary value conditions. Firstly, by means of the limit case of impulses, the general solutions of these equations are obtained. Then, the more detailed solution is obtained by the corresponding fixed point theorem, and an example is given.
【学位授予单位】：东北师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：O175.8

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