非线性分数微分方程边值问题单调正解的存在性

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

数学季刊 ›› 2020, Vol. 35 ›› Issue (4): 410-417.doi: 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

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

收稿日期:2020-08-08 出版日期:2020-12-30 发布日期:2021-01-06
通讯作者: 岳俊瑞
作者简介:YUE Jun-rui(1989-), female, native of Xinzhou, Shanxi, lecturer of Shanxi Technology and Business College, engages in differential equation.
基金资助:
Supported by Teaching Reform Project of Higher Education Institutions in Shanxi (Grant No. J2020417).

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

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

Received:2020-08-08 Online:2020-12-30 Published:2021-01-06
Contact: YUE Jun-rui
About author:YUE Jun-rui(1989-), female, native of Xinzhou, Shanxi, lecturer of Shanxi Technology and Business College, engages in differential equation.
Supported by:
Supported by Teaching Reform Project of Higher Education Institutions in Shanxi (Grant No. J2020417).

摘要/Abstract

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

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

中图分类号:

O175.8

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.

YUE Jun-rui, BAI Qing-yue. Existence of Monotone Positive Solution for BVP of Nonlinear Fractional Differential Equation[J]. Chinese Quarterly Journal of Mathematics, 2020, 35(4): 410-417.

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非线性分数微分方程边值问题单调正解的存在性

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

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