一类高分数阶微分方程边值问题解的存在性  

Existence of solutions for a class of boundary value problem of high-order fractional differential equations

作　　者：禾丁予 HE Ding-Yu(School of Mathematics,Tianjin University,Tianjin 300350,China)

机构地区：[1]天津大学数学学院,天津300350

出　　处：《四川大学学报（自然科学版）》2020年第3期443-449,共7页Journal of Sichuan University(Natural Science Edition)

基　　金：国家自然科学基金(11601372)。

摘　　要：本文研究了一类高分数阶微分方程边值问题,其非线性项包含未知函数的导数项.利用Leray-Schauder连续性定理和Banach压缩映像原理,本文得到了问题解的存在性,并给出两个例子来说明结果的有效性.This paper investigates a class of boundary value problem of higher-order fractional differential equations involving the first-order derivative in the nonlinear term. Existence of the solutions for the problem is obtained by using the Leray-Schauder continuation theorem and Banach contraction mapping principle. Two examples are presented to illustrate the validity of the results.

关 键 词：分数阶微分方程 边值问题 Leray-Schauder连续性定理 Banach压缩映像原理 

分 类 号：O175.8[理学—数学]