一类非线性Caputo型分数阶微分方程解的存在性被引量：2

Existence of solutions for a nonlinear Caputo fractionalorder differential equations

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摘要研究Banach空间中一类非线性分数阶微分方程解的存在性.利用Krasnosel’skii不动点定理和LeraySchauder度理论,得到了该边值问题解的存在性定理.作为主要结论的应用,给出两个例子验证了所得结果. The existence of solutions to a class of nonlinear fractional-order differential equations was studied.The existence theorem of solutions to integral boundary-value problem was obtained by using Krasnoselskii’s fixed point theorem and Leray-Schauder degree theory.As an application of principal conclusion,two examples were given to verify the result obtained.

作者苏莹薛益民 SU Ying;XUE Yi-min(School of Mathematics and Physical Science,Xuzhou University of Technology,Xuzhou 221018)

机构地区徐州工程学院数学与物理科学学院

出处《兰州理工大学学报》 CAS 北大核心 2018年第2期154-157,共4页 Journal of Lanzhou University of Technology

基金国家自然科学基金(11301454) 国家自然科学数学天元基金(11526177) 江苏省自然科学基金(BK20151160) 江苏省高校自然科学基金(14KJB110025) 江苏省六大人才高峰项目(2013-JY-003)

关键词分数阶微分方程边值问题 Krasnosel’skii不动点定理 LERAY-SCHAUDER度理论 fractional-order differential equation boundary-value problem Krasnosel’skii fixed point theorem Leray-Schauder degree theory

分类号 O175 [理学—基础数学]

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参考文献2

1LI Yao-hong.Existence of Positive Solutions for Systems of Second-order Nonlinear Singular Differential Equations with Integral Boundary Conditions on Infinite Interval[J].Chinese Quarterly Journal of Mathematics,2014,29(1):55-64. 被引量：18
2刘德群,徐娜.带p-Laplacian算子的分数阶微分方程边值问题正解的存在性[J].兰州理工大学学报,2015,41(6):161-165. 被引量：3

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