一类具有时滞的高阶分数阶微分方程积分边值问题解的存在性  

Existence of the Solutions to Integral Boundary Value Problems of the same Class of Higher Order Fractional Differential Equations with Time Delay

作　　者：郑春华[1] 马睿 傅霞[1] Zheng Chunhua;Ma Rui;Fu Xia(General Education Department,Shaanxi Polytechnic Institute,Xianyang Shaanxi 712000,China)

机构地区：[1]陕西工业职业技术学院公共课教学部,陕西咸阳712000

出　　处：《陕西工业职业技术学院学报》2020年第1期11-14,共4页Journal of Shaanxi Polytechnic Institute

基　　金：国家自然科学基金(No.11271364);陕西工业职业技术学院科研项目(项目编号:ZK17-34)。

摘　　要：研究了一类具有时滞的高阶分数阶微分方程积分边值问题解飾存在性,利用Leray-Schauder非线性抉择定理得到了该边值问题解存在的充分条件,补充和完善了已有的研究结果。In this paper,a class of higher order fractional differential equation with integral boundary conditions and delay is studied.By using Leray-Schauder nonlinear alternative theorem,the sufficient conditions on the existence of solutions to this boundary value problem has been obtained and the known research results have been extended and improved.

关 键 词：高阶分数阶微分方程 时滞 积分边值问题 Leray-Schauder非线性抉择定理 

分 类 号：O175.8[理学—数学]