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《Journal of Donghua University(Natural Science)》 2011-02
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Existence of Solutions for the Boundary Value Problem of Fractional Differential Equations

LI Xiu-hong,KOU Chun-hai,LIU Xiao-bo(College of Science,Donghua University,Shanghai 201620,China)  
The existing of solutions for the following boundary value problem of fractional differential equations is studied.{cDαu(t) +λcDα-1u(t) +f(t,u(t) ) =0,0t1,u(0) =0,u(1) =0,where 1α≤2,0≤λ18,cDα is Caputo fractional derivative,and f∶[0,1]×R→R is continuous.Under several types of sufficient conditions,the existence of solutions to the above problem is proved by a fixed-point theorems.
【Fund】: 国家自然科学基金资助项目(10701023 10971221)
【CateGory Index】: O175.8
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