| 分数阶微分方程组边值问题解的存在性 |
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| 引用本文： | 高芳,江卫华.分数阶微分方程组边值问题解的存在性[J].数学的实践与认识,2013,43(10). |
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| 作者姓名： | 高芳 江卫华 |
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| 作者单位： | 1. 衡水学院分院 数理系,河北 衡水,053000
2. 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 |
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| 摘 要： | 研究分数阶微分方程组边值问题在一类新型的边界条件——分数阶分离边界条件下解的存在性.通过将微分方程组边值问题转化为与之等价的积分方程组,利用Banach不动点定理和Leray-Schauder非线性更替得到边值问题解存在的充分条件,并给出两个例子说明了主要结论.
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| 关 键 词： | 微分方程组 分数阶微分 分数阶积分 边值问题 不动点 |
Existence of Solutions For Boundary Value Problem of Fractional Differential Equation System |
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| GAO Fang
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JIANG Wei-hua.Existence of Solutions For Boundary Value Problem of Fractional Differential Equation System[J].Mathematics in Practice and Theory,2013,43(10). |
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| Authors: | GAO Fang JIANG Wei-hua |
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| Abstract: | In this paper,we investigate the existence of solutions for boundary value problem of fractional differential equation system with fractional separation boundary conditions.With the aid of the equivalent integral equation system,Banach fixed point theorems and Leray-Schauder nonlinear alternative,we get some sufficient conditions for the existence of solutions .We also give two examples to illustrate the applicability of our results. |
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| Keywords: | differential equation system fractional differential fractional integral boundary value problem fixed point |
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