| 带有积分条件的分数阶微分方程边值问题耦合系统 |
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| 引用本文： | 张豫川,周宗福. 带有积分条件的分数阶微分方程边值问题耦合系统[J]. 厦门水产学院学报, 2013, 0(4): 297-301 |
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| 作者姓名： | 张豫川 周宗福 |
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| 作者单位： | 安徽大学数学科学学院,安徽合肥230039 |
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| 基金项目： | 国家自然科学基金资助项目（11071001）; 安徽省自然科学基金资助项目（1208085MA13）; 安徽大学211项目资助（KJTD002B,KJJQ005） |
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| 摘 要： | 主要研究了一类带有积分条件的分数阶微分方程边值问题耦合系统,并运用Schauder不动点定理,得到了一些解的存在性结果,同时给出了一个例子来验证该结论.
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| 关 键 词： | 分数阶微分方程 边值问题 耦合系统 Schauder不动点 |
Boundary Value Problem for a Coupled System of Nonlinear Fractional Differential Equations with Integral Boundary Conditions |
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| ZHANG Yu-chuan,ZHOU Zong-fu. Boundary Value Problem for a Coupled System of Nonlinear Fractional Differential Equations with Integral Boundary Conditions[J]. , 2013, 0(4): 297-301 |
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| Authors: | ZHANG Yu-chuan ZHOU Zong-fu |
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| Affiliation: | (School of Mathematical Sciences, Anhui University, Hefei 230039, China) |
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| Abstract: | A class of boundary value problem for a coupled differential system of fractional order with in-tegral boundary conditions was studied. By means of Schauder fixed-point theorem, some existence results for the solution were obtained, and one example was given to illustrate the results. |
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| Keywords: | fractional differential equation boundary value problem coupled system Schauder fixedpoint theorem |
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