Positive Solutions for Multipoint Boundary Value Problem of Fractional Differential Equations

Abstract EN

We study the existence and multiplicity of positive solutions for the fractional m-point boundary value problem D0+αu(t)+f(t,u(t))=0, 0

Here, ai⩾0 for i=1,…,m-2, 0<ξ1<ξ2<⋯<ξm-2<1, and ρ=∑i=1m-2aiξiα-2 with ρ<1.

In light of some fixed point theorems, some existence and multiplicity results of positive solutions are obtained.