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一类具有适型分数阶导数的分数阶微分方程m点边值问题的正解 被引量：1

Existence of positive solution for a class of m-point boundary value problems with conformable fractional differential derivatives
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摘要 研究了一类具有适型分数阶导数的m点边值问题的正解存在性问题.通过运用一种新定义的泛函来计算不动点指数,得到了相关问题的正解存在性.通过一个例子说明了定理的应用. The existence of positive solution for a class of m-point boundary value problem with conformable fractional differential derivatives is studied.By using different functionals which are satisfied with a new defined functional to compute the fixed point index,the existence of positive solution is obtained.An example is given to illustrate the application of the theorem.
作者 赵微 ZHAO Wei(Department of Mathematics,Daqing Normal University,Daqing 163712)
机构地区 大庆师范学院数学科学学院
出处 《兰州理工大学学报》 CAS 北大核心 2021年第5期150-154,共5页 Journal of Lanzhou University of Technology
基金 黑龙江省自然科学基金(LH2020A017) 大庆市指导性科技计划项目(zd-2020-20)。
关键词 适型分数阶导数 M点边值问题 不动点指数 锥 Conformable fractional derivative m-point boundary value problem fixed point index cone
分类号 O175.8 [理学—基础数学]
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兰州理工大学学报
2021年 第5期

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