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Caputo-Fabrizio型分数阶微分方程两点边值问题正解的存在性

王兰芳

吉首大学学报(自然科学版)2023,Vol.44Issue(5):1-5,5.
吉首大学学报(自然科学版)2023,Vol.44Issue(5):1-5,5.DOI:10.13438/j.cnki.jdzk.2023.05.001

Caputo-Fabrizio型分数阶微分方程两点边值问题正解的存在性

Existence of Positive Solutions to Two-Point Boundary Value Problems of Fractional Differentional Equations Involving Caputo-Fabrizio Fractional Derivatives

王兰芳1

作者信息

  • 1. 吉首大学数学与统计学院,湖南吉首 416000
  • 折叠

摘要

Abstract

Based on the Krasnoselskii fixed point theorem,existence of positive solutions to two-point boundary value problems for fractional differential equations involving the Caputo-Fabrizio derivative is discussed,and some sufficient conditions are established to ensure the existence of at least one positive solutions to the boundary problem.

关键词

分数阶微分方程/Caputo-Fabrizio导数/边值问题/正解/不动点定理

Key words

fractional differential equations/Caputo-Fabrizio derivatives/boundary value problems/posi-tive solutions/fixed points

分类

数理科学

引用本文复制引用

王兰芳..Caputo-Fabrizio型分数阶微分方程两点边值问题正解的存在性[J].吉首大学学报(自然科学版),2023,44(5):1-5,5.

吉首大学学报(自然科学版)

1007-2985

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