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  

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

作　　者：赵微[1] ZHAO Wei(Department of Mathematics,Daqing Normal University,Daqing 163712)

机构地区：[1]大庆师范学院数学科学学院,黑龙江大庆163712

出　　处：《兰州理工大学学报》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)。

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.

关 键 词：适型分数阶导数 M点边值问题 不动点指数 锥 

分 类 号：O175.8[理学—数学]