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Riemann-Stieltjes Integral boundary value problems involving mixed Riemann-Liouville and Caputo fractional derivatives

In this paper, we present the existence and uniqueness of solutions for a fractional integrodifferential equation involving both Riemann-Liouville and Caputo derivatives equipped with non-conjugate Riemann-Stieltjes integro-multipoint boundary conditions. Our results are obtained by applying the modern methods of functional analysis. Examples are constructed for the illustration of our results.