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分数阶微分方程边值问题解的存在性 被引量：1

The Existence of Solutions for Boundary Value Problems of Fractional Differential Equations
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摘要 利用上下解方法与Schauder不动点定理,研究了一类非线性分数阶边值问题解的存在性：{D（0＋）^αu（t）=f（t,u（t））,t∈[0,1],u（0）=u（1）=u′（0）=u′（1）=0,其中α∈（3,4],是一实数,D（0＋）^α是Riemann-Liouville分数阶导数,推广和改进了已有的结果. By using the Schauder fixed point theorem and the methods of the upper and lower solution,the existence of solutions for the boundary value problems of a type fractional differential equations is studied：{D_（0＋）~αu（t）=f（t,u（t））,t∈ [0,1],u（0）=u（1）=u′（0）=u′（1）=0,whereα∈（3,4],andαis a real number;D0＋~α is Riemann-Liouville fractional derivative,and some known results are generalized and improved.
作者 张克玉 孙建凯 周妍
机构地区 齐鲁师范学院数学学院 山东大学数学学院
出处 《宁夏大学学报（自然科学版）》 CAS 2016年第2期141-143,148,共4页 Journal of Ningxia University(Natural Science Edition)
基金 山东省自然科学基金资助项目(ZR2015AM014) 中国博士后科学基金资助项目(2015M582070) 山东省博士后创新专项基金资助项目(201502022) 齐鲁师范学院优秀青年基金资助项目(2013L1301 2014L1001)
关键词 分数阶边值问题 上下解 SCHAUDER不动点定理 fractional boundary value problem the upper and lower solution Schauder fixed point theorem
分类号 O175 [理学—基础数学]
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参考文献9

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二级参考文献56

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宁夏大学学报（自然科学版）
2016年 第2期

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