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论文摘要

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(天津大学数学学院)

Author:He Ding-Yu(School of Mathematics, Tianjin University)

收稿日期:2019-03-18          年卷(期)页码:2020,57(3):443-449

期刊名称:四川大学学报: 自然科学版

Journal Name:Journal of Sichuan University (Natural Science Edition)

关键字: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

Key words:Fractional differential equation;Boundary value problem; Leray-Schauder continuation theorem;Banach contraction mapping principle

基金项目:国家自然科学基金(11601372)

中文摘要

研究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,得到边值问题解的存在性结果,并给出两个例子来说明结果的有效性.

英文摘要

This paper investigates a class of boundary value problem of higher-order fractional differential equations involving the first-order derivative of the unknown function in the nonlinear term. Existence of 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.

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