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分数阶微分方程多点边值问题解的存在性
引用本文:刘文宁,严兴杰.分数阶微分方程多点边值问题解的存在性[J].徐州师范大学学报(自然科学版),2013(2):21-24.
作者姓名:刘文宁  严兴杰
作者单位:中国矿业大学理学院,江苏徐州221008
基金项目:国家自然科学基金资助项目(11126306); 中国矿业大学高水平论文基金资助项目(JK126050)
摘    要:当f和g在适当的条件下,只需对解做有界性先验估计,利用变形的Leray-Schauder定理证明分数阶微分方程解的存在性.

关 键 词:分数阶微分方程  非局部多点边值问题  不动点定理  分数阶微积分

Existence of solution of the fractional differential equations with multi-point boundary value problem
Liu Wenning,Yan Xingjie.Existence of solution of the fractional differential equations with multi-point boundary value problem[J].Journal of Xuzhou Normal University(Natural Science Edition),2013(2):21-24.
Authors:Liu Wenning  Yan Xingjie
Institution:(College of Sciences,China University of Mining & Technology,Xuzhou 221008,Jiangsu,China)
Abstract:Under the suitable conditions on f and g, just to do the bounded priori estimate of solution, by using modified Leray-Schauder theory, the existence of solution of the fractional differential equations is proved.
Keywords:fractional differential equation  nonlocal boundary value problem  fixed point theorem  fractional calculus
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