We study the existence and multiplicity of positive solutions for the fractionalm-point boundary value problemD0+αu(t)+f(t,u(t))=0,0<t<1,u(0)=u′(0)=0,u′(1)=∑i=1m-2aiu′(ξi), where2<α<3,D0+αis the standard Riemann-Liouville fractional derivative, andf:[0,1]×[0,∞)↦[0,∞)is continuous. Here,ai⩾0fori=1,…,m-2,0<ξ1<ξ2<⋯<ξm-2<1, andρ=∑i=1m-2aiξiα-2withρ<1. In light of some fixed point theorems, some existence and multiplicity results of positive solutions are obtained.
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