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一类分数阶微分方程三点边值问题解的存在性 被引量:1

THE EXISTENCE OF SOLUTIONS FOR A CLASS OF FRACTIONAL DIFFERENTIAL EQUATION WITH THREE POINT BOUNDARY VALUE PROBLEMS
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摘要 利用压缩性条件和Schaefer不动点定理研究了一类Caputo型分数阶微分方程三点边值问题,得到该类方程解的存在性和存在唯一性. The paper is concerned with for a class of fractional differential equations with three point boundary value problems by using the compressibility condition and fixed point theorem., and obtained the existence and uniqueness of solutions of this kind of equation.
作者 秦宝侠 陈燕来 王迪 Qin Baoxia1, Chen Yanlai2, Wang Di 1(1. School of Mathematics, Qilu Normal University,250013, Jinan, China; 2. School of Economics, Shandong University, 250100, Jinan, China)
出处 《山东师范大学学报(自然科学版)》 CAS 2018年第1期33-40,共8页 Journal of Shandong Normal University(Natural Science)
基金 山东省金融学会2017年重点(大)研究项目(2017SDJR29) 齐鲁师范学院大学生科研基金项目(XS2015L04) 齐鲁师范学院教改项目(jg201710)
关键词 CAPUTO导数 压缩映射 Schaefer不动点定理 Caputo derivative compression mapping Schaefer fixed point theorem
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