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 ofFractional Differentional Equations Involving Caputo-FabrizioFractional Derivatives

作　　者：王兰芳[1] WANG Lanfang(College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China)

机构地区：[1]吉首大学数学与统计学院,湖南吉首416000

出　　处：《吉首大学学报（自然科学版）》2023年第5期1-5,共5页Journal of Jishou University(Natural Sciences Edition)

摘　　要：利用Krasnoselskii不动点定理,讨论了一类含高阶Caputo-Fabrizio型分数阶导数的分数阶微分方程两点边值问题正解的存在性,建立了该边值问题至少存在1个正解的充分条件.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 

分 类 号：O241.8[理学—计算数学]