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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

Existence of Positive Solutions to Two-Point Boundary Value Problems ofFractional Differentional Equations Involving Caputo-FabrizioFractional Derivatives
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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.
作者 王兰芳 WANG Lanfang(College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China)
出处 《吉首大学学报(自然科学版)》 CAS 2023年第5期1-5,共5页 Journal of Jishou University(Natural Sciences Edition)
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 fractional differential equations Caputo-Fabrizio derivatives boundary value problems positive solutions fixed points
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