Uniqueness results for a mixed $ p $-Laplacian boundary value problem involving fractional derivatives and integrals with respect to a power function

Abstract

<abstract><p>This paper is concerned with a mixed $ p $-Laplacian boundary value problem involving right-sided and left-sided fractional derivatives and left-sided integral operators with respect to a power function. We prove the uniqueness of positive solutions for the given problem for the cases $ 1 < p \le 2 $ and $ p > 2 $ by applying an efficient novel approach together with the Banach contraction mapping principle. Estimates for Green's functions appearing in the solution of the problem at hand are also presented. Examples are given to illustrate the obtained results.</p></abstract>

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