非线性分数微分方程边值问题单调正解的存在性

岳俊瑞, 白庆月

doi:10.13371/j.cnki.chin.q.j.m.2020.04.009

数学季刊 >

2020 , Vol. 35 >Issue 4: 410 - 417

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2020.04.009

非线性分数微分方程边值问题单调正解的存在性

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Computer Information Engineering Institute, Shanxi Technology and Business College, Taiyuan
030006, China

YUE Jun-rui(1989-), female, native of Xinzhou, Shanxi, lecturer of Shanxi Technology and Business College, engages in differential equation.

收稿日期: 2020-08-08

网络出版日期: 2021-01-06

基金资助

Supported by Teaching Reform Project of Higher Education Institutions in Shanxi (Grant No. J2020417).

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Existence of Monotone Positive Solution for BVP of Nonlinear Fractional Differential Equation

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Computer Information Engineering Institute, Shanxi Technology and Business College, Taiyuan
030006, China

YUE Jun-rui(1989-), female, native of Xinzhou, Shanxi, lecturer of Shanxi Technology and Business College, engages in differential equation.

Received date: 2020-08-08

Online published: 2021-01-06

Supported by

Supported by Teaching Reform Project of Higher Education Institutions in Shanxi (Grant No. J2020417).

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摘要

In this paper, we consider a class of nonlinear fractional differential equation boundary value problem. The existence of monotone positive solution is derived by the iterative technique.

关键词： 分数微分方程; 边值问题; 单调正解; 存在性; 迭代法

本文引用格式

岳俊瑞, 白庆月 . 非线性分数微分方程边值问题单调正解的存在性[J]. 数学季刊, 2020 , 35(4) : 410 -417 . DOI: 10.13371/j.cnki.chin.q.j.m.2020.04.009

Abstract

In this paper, we consider a class of nonlinear fractional differential equation boundary value problem. The existence of monotone positive solution is derived by the iterative technique.

Key words： Fractional differential equation; Boundary value problem; Monotone positive solution; Existence; Iterative technique

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