| 分数阶微分方程多点边值共振问题解的存在性 |
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| 引用本文： | 王建帅. 分数阶微分方程多点边值共振问题解的存在性[J]. 成都大学学报(自然科学版), 2012, 31(4): 331-335. DOI: 10.3969/j.issn.1004-5422.2012.04.009 |
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| 作者姓名： | 王建帅 |
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| 作者单位： | 长春工业大学基础科学学院,吉林长春,130012 |
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| 摘 要： | 分数阶导数是整数阶导数的推广．利用Mawhin的连续性定理及迭合度理论,讨论了共振条件下分数阶微分方程多点边值问题解的存在性,得到解存在的充分条件,并推广了已有的结果．
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| 关 键 词： | 分数阶微分方程 多点边值问题 迭合度 |
Existence of Solutions for Multi-point Resonance Boundary Value of Fractional Differential Equations |
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| WANG Jianshuai. Existence of Solutions for Multi-point Resonance Boundary Value of Fractional Differential Equations[J]. Journal of Chengdu University (Natural Science), 2012, 31(4): 331-335. DOI: 10.3969/j.issn.1004-5422.2012.04.009 |
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| Authors: | WANG Jianshuai |
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| Affiliation: | WANG Jianshuai(College of Basic Science,Changchun University of Technology,Changchun 130012, China) |
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| Abstract: | Fractional derivative is the promotion of integer derivative.Mawhin's continuous theorem and coincidence degree theory were used in this paper to discuss the existence of solutions for fractional multi-point boundary value problems at resonance.The sufficient conditions for the existence of solutions were obtained and the known results were generalized. |
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| Keywords: | fractional differential equation multi-point boundary value problem coincidence degree theory |
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