| 一类非线性分数阶多点边值问题的可解性 |
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| 引用本文： | 郝晓红,周宗福. 一类非线性分数阶多点边值问题的可解性[J]. 北京联合大学学报(自然科学版), 2012, 26(4): 64-68 |
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| 作者姓名： | 郝晓红 周宗福 |
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| 作者单位： | 安徽大学数学科学学院,合肥,230601;安徽大学数学科学学院,合肥,230601 |
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| 基金项目： | 国家自然科学基金资助(11071001);安徽大学211工程项目资助(KJTD002B) |
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| 摘 要： | 讨论了一类非线性分数阶微分方程多点边值问题的可解性，主要应用Banach压缩映像原理和Leray-Schauder非线性抉择定理得到解的存在性和唯一性，最后给出例子说明定理的适用性。
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| 关 键 词： | 分数阶微分方程 边值问题 非线性抉择定理 存在性 唯一性 |
Solvability of a Class of Nonlinear Fractional Multi-point Boundary Value Problems |
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| HAO Xiao-hong,ZHOU Zong-fu. Solvability of a Class of Nonlinear Fractional Multi-point Boundary Value Problems[J]. Journal of Beijing Union University, 2012, 26(4): 64-68 |
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| Authors: | HAO Xiao-hong ZHOU Zong-fu |
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| Affiliation: | (Department of Mathematical Sciences,Anhui University,Hefei 230601,China) |
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| Abstract: | The existence and uniqueness of solutions for a class of nonlinear fractional differential equations with multi-point fractional boundary value conditions is considered in this paper by applying Banach contraction principle and Leray-Schauder nonlinear alternative theorem.An example is presented to illustrate our results. |
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| Keywords: | Fractional differential equation Boundary value problem Leray-Schauder nonlinear alternative theorem Existence and uniqueness |
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