共振条件下序列型分数微分方程耦合系统解的存在性（英文）  

Existence Results for a Coupled System of Sequential Fractional Differential Equations at Resonance

作　　者：张小芝 夏正喜[2] 

机构地区：[1]九江学院理学院,江西九江332005 [2]九江职业技术学院信息工程系,江西九江332007

出　　处：《应用数学》2018年第1期177-187,共11页Mathematica Applicata

基　　金：Supported by the Tian Yuan Special Funds of the National Natural Science Foundation of China(11626126);the Science and Technology Foundation of Jiangxi Educational Committee(GJJ150080);the Humanities and Social Science Research Project of Colleges and Universities in Jiangxi province(GL1578)

摘　　要：本文研究一类序列型分数阶微分方程耦合系统的多点边值问题,在共振条件下,通过迭合度理论,给出系统解的存在性的判断标准.最后,通过实例验证了本文结论的可行性.In this paper, a class of multi-point boundary value problem for a coupled system of sequential fractional differential equations at resonance is considered, and the criterion on existence is provided by means of the coincidence degree theory. In the end, an example is given to illustrate the availability of the main results.

关 键 词：耦合系统 序列型分数阶微分方程 共振条件 迭合度 

分 类 号：O175[理学—数学]