Positive solutions for a system of Hadamard fractional $ (\varrho_{1}, \varrho_{2}, \varrho_{3}) $-Laplacian operator with a parameter in the boundary

Abstract

<abstract><p>In this paper, we are gratified to explore existence of positive solutions for a tripled nonlinear Hadamard fractional differential system with $ (\varrho_{1}, \varrho_{2}, \varrho_{3}) $-Laplacian operator in terms of the parameter $ (\sigma_{1}, \sigma_{2}, \sigma_{3}) $ are obtained, by applying Avery-Henderson and Leggett-Williams fixed point theorems. As an application, an example is given to illustrate the effectiveness of the main result.</p></abstract>