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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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