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一类分数阶微分方程边值问题正解的存在性 被引量：1

Existence of Positive Solutions for a Class of Fractional Differential Equations with Boundary Value Problems
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摘要 通过构造Green函数的性质以及锥上的不动点定理,研究一类分数阶微分方程边值问题正解的存在性问题,并通过构造次线性函数,证明了边值问题存在唯一的正解。 In this paper,by constructing the properties of Green function and the fixed point theorem on cone,we study the existence of solutions of boundary value problems for a class of fractional differential equations,and prove the existence and uniqueness of positive solutions for boundary value problems by constructing sublinear functions.
作者 许佰雁 田纪亚 XU Bai-yan;TIAN Ji-ya(Basic Research Section,Changchun Guanghua College,Changchun 130033,China;School of Electrical Information,Changchun Guanghua College,Changchun 130033,China)
机构地区 长春光华学院基础教研部 长春光华学院电气信息学院
出处 《长春师范大学学报》 2020年第2期5-9,共5页 Journal of Changchun Normal University
基金 吉林省教育厅“十三五”科学技术项目“基于物联网的智慧实验室系统”(JJKH20171027KJ) 吉林省发改委基金项目“基于计算机视觉的玉米病虫害预测研究”(2019C054-7) 长春光华学院青年科研重点基金项目“带有p-Laplacian算子的分数阶微分方程边值问题解的存在性研究”(QNJJZD2019005)
关键词 分数阶微分方程 P-LAPLACIAN算子 边值问题 GREEN函数 不动点定理 fractional differential equation p-Laplacian operator boundary value problem Green function fixed point theorem
分类号 O175.8 [理学—基础数学]
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长春师范大学学报
2020年 第2期

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