| 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.[WANG Lin,WANG Hui-lan,ZHOU Cheng-fang.The Positive Solutions for a Class of Fractional Differential Equation with Riemann-Stieljes Integral Boundary Condition[J].Journal of University of South China(Science and Technology),2017,31(3):77~80.] |
| 一类具R-S积分边界条件的分数阶微分方程的正解 |
| The Positive Solutions for a Class of Fractional Differential Equation with Riemann-Stieljes Integral Boundary Condition |
| 投稿时间：2017-08-01 |
| DOI： |
| 中文关键词: 分数阶微分方程 R-S积分 边值问题 正解 单调迭代法 |
| 英文关键词:fractional order differential equation Riemann-Stieljes integral boundary value problem positive solution monotone iterative technique |
| 基金项目:湖南省教育厅科学研究项目(16C425) |
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| 中文摘要: |
| 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. |
| 英文摘要: |
| 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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