| 一类分数阶微分方程边值问题单调迭代解 |
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| 引用本文： | 周昌宇,刘文斌.一类分数阶微分方程边值问题单调迭代解[J].黑龙江科技学院学报,2010,20(4):304-306. |
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| 作者姓名： | 周昌宇 刘文斌 |
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| 作者单位： | 中国矿业大学,理学院,江苏,徐州,221008 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 分数阶边值问题被广泛应用于各种领域，而只有正解才有实际意义。文中运用单调迭代方法和格林函数，讨论一类非线性分数阶微分方程边值问题，得到其两迭代正解的存在性，使原有结果得到了进一步的改进。
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| 关 键 词： | 微分方程 分数阶边值问题 正解 单调迭代法 格林函数 |
Monotone iterative positive solution for boundary value problem of fractional differential equation |
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| ZHOU Changyu,LIU Wenbin.Monotone iterative positive solution for boundary value problem of fractional differential equation[J].Journal of Heilongjiang Institute of Science and Technology,2010,20(4):304-306. |
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| Authors: | ZHOU Changyu LIU Wenbin |
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| Institution: | (College of Sciences, China University of Mining ＆ Technology, Xuzhou 221008, China) |
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| Abstract: | Fractional boundary value problem has come into a wider use in many fields and is of practical value only after positive solution occurs. This paper discusses a nonlinear fractional differential equation using monotone iterative method and Green＇ s function and features the existence of monotone it- erative positive solution, an improvement over many known results. |
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| Keywords: | differential equation fractional boundary value problem positive solution monotone it- erative method Green＇ s function |
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