Based on the fixed point theory,this paper aims to study the boundary value problem for a Riemann-Liouville-type fractional differential equation with Riemann-Stieltjes integral boundary value conditions.Firstly,its equivalent integral equation is transformed,and the corresponding operator equation is constructed in the function space.Then,fixed points of the operator equation are obtained by using the Krasnosel'skii-Zabreiko fixed point theorem,and so the existence of positive solutions is shown for the considered problem.
boundary value problemspositive solutionsKrasnosel'skii-Zabreiko fixed point theorem
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