| 一类具R-S积分边界条件的分数阶微分方程的正解 |
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| 引用本文： | 王琳,王会兰,周承芳.一类具R-S积分边界条件的分数阶微分方程的正解[J].南华大学学报(自然科学版),2017,31(3):77-80. |
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| 作者姓名： | 王琳 王会兰 周承芳 |
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| 作者单位： | 湖南工商职业学院 基础部,湖南 衡阳 421001,南华大学 数理学院,湖南 衡阳 421001,南华大学 数理学院,湖南 衡阳 421001 |
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| 基金项目： | 湖南省教育厅科学研究项目(16C425) |
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| 摘 要： | 研究了一类包含p-拉普拉斯算子、并具有Riemann-stieljes积分边界条件的分数阶微分方程的正解存在性.通过构造锥上全连续算子,采用单调迭代法得到了系统存在正解的充分条件.
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| 关 键 词： | 分数阶微分方程 R-S积分 边值问题 正解 单调迭代法 |
| 收稿时间： | 2017/8/1 0:00:00 |
The Positive Solutions for a Class of Fractional Differential Equation with Riemann-Stieljes Integral Boundary Condition |
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| WANG Lin,WANG Hui-lan and ZHOU Cheng-fang.The Positive Solutions for a Class of Fractional Differential Equation with Riemann-Stieljes Integral Boundary Condition[J].Journal of Nanhua University:Science and Technology,2017,31(3):77-80. |
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| Authors: | WANG Lin WANG Hui-lan and ZHOU Cheng-fang |
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| Institution: | Basic Department,Hunan Vocational College of Industry and Commerce,Hengyang,Hunan 421001,China,School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China and School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China |
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| Abstract: | The paper focuses on the existence of positive solutions for a class of fractional equation,which involves a p-Laplacian operator and Riemann-Stieljes integral boundary condition.By constructing a completely continuous map defined on a cone and employing monotone iterative technique,the sufficient existence conditions are obtained. |
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| Keywords: | fractional order differential equation Riemann-Stieljes integral boundary value problem positive solution monotone iterative technique |
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