Positive solutions for a Caputo-type fractional differential equation with a Riemann-Stieltjes integral boundary condition

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Abstract

In this paper, we study the solvability of positive solutions for a Caputo-type fractional- order Riemann-Stieltjes integral boundary value problem. Under some monotonicity conditions for the nonlinearity, we use the upper-lower solution method to obtain two existence theorems.

Keywords

Caputo-type fractional-order differential equations / integral boundary value problems / positive solutions / upper-lower solution method

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