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《Journal of Taiyuan Normal University(Natural Science Edition)》 2013-01
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Existence and Uniqueness of Solutions for the Boundary Value Problem about Fractional Differential Equation

An Cunbin Li Xiulan(School of Mathematics and Computer Sciences,Datong University,Datong 037009,China)  
We investigate the existence of solutions for the boundary value problem on the following fractional differential equationDα0+ u(t)+f(t,u(t))=0,0t1u(0)=u(1)=0,where f:×R→R is continuous,1α≤2.By means of the contraction mapping theorem and the Brouwer fixed point theorem,the existence and uniqueness of solution are obtained.
【CateGory Index】: O175.8
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【References】
Chinese Journal Full-text Database 2 Hits
1 LI Qi;WANG Rui;MENG Fan-wei;TIAN Ya-zhou;Department of Basic Course Teaching,Qingdao Technological University(Linyi);School of Mathematical Sciences,Qufu Normal University;School of Electronic and Information Engineering,Xi'an Jiaotong University;;Existence and Uniqueness of Solutions to the Boundary Value Problem for Nonlinear Fractional Integro-Differential Equations[J];内蒙古大学学报(自然科学版);2014-05
2 Li Jian-li;Zhang Wen-li;Department of basic,Taiyuan University;Department of mathematics,Changzhi university;;The Existence of Mild Solutions for Semilinear Differential Equations with Nonlocal Conditions[J];长治学院学报;2014-02
【Co-references】
Chinese Journal Full-text Database 5 Hits
1 An Cunbin Li Xiulan(School of Mathematics and Computer Sciences,Datong University,Datong 037009,China);Existence and Uniqueness of Solutions for the Boundary Value Problem about Fractional Differential Equation[J];太原师范学院学报(自然科学版);2013-01
2 Wang Xiaojun Gao Xiaoli Wang Ruina(School of Mathematical Sciences,Shanxi University,Taiyuan 030006,China);Existence of Positive Solutions to a Kind of Second-Order Dirichlet Boundary Value Problems[J];太原师范学院学报(自然科学版);2012-01
3 WU Guang-xian1,2,DONG Qi-xiang1,LI Gang1(1.Sch of Math Sci,Yangzhou Univ,Yangzhou 225002,China;2.Dept of Math,Jiaozuo Norm Coll,Jiaozuo 454001,China);A class of mixed integrodifferential equations with nonlocal conditions in Banach spaces[J];扬州大学学报(自然科学版);2011-02
4 LI Xiu-hong,KOU Chun-hai,LIU Xiao-bo(College of Science,Donghua University,Shanghai 201620,China);Existence of Solutions for the Boundary Value Problem of Fractional Differential Equations[J];东华大学学报(自然科学版);2011-02
5 ZHANG Jin*,LIAN Ting-ting,LI Gang(Coll of Math Sci,Yangzhou Univ,Yangzhou 225002,China);Integrodifferential equations with nonlocal conditions in Banach spaces[J];扬州大学学报(自然科学版);2007-04
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