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

兰州理工大学学报 ›› 2021, Vol. 47 ›› Issue (5): 150-154.

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

赵微^*

大庆师范学院数学科学学院, 黑龙江大庆 163712

收稿日期:2020-06-23 出版日期:2021-10-28 发布日期:2021-11-18
通讯作者: 赵微(1979-),女,吉林通化人,硕士,副教授.Email:zw_19791220@163.com
基金资助:
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)

Existence of positive solution for a class of m-point boundary value problems with conformable fractional differential derivatives

ZHAO Wei

Department of Mathematics, Daqing Normal University, Daqing 163712

Received:2020-06-23 Online:2021-10-28 Published:2021-11-18

摘要/Abstract

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.

关键词: 适型分数阶导数, m点边值问题, 不动点指数, 锥

Abstract: 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.

Key words: Conformable fractional derivative, m-point boundary value problem, fixed point index, cone

中图分类号:

O175.8

赵微. 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[J]. 兰州理工大学学报, 2021, 47(5): 150-154.

ZHAO Wei. Existence of positive solution for a class of m-point boundary value problems with conformable fractional differential derivatives[J]. Journal of Lanzhou University of Technology, 2021, 47(5): 150-154.