Abstract
In this paper, we are gratified to explore existence of positive solutions for a tripled nonlinear Hadamard fractional differential system with (rho(1), rho(2), rho(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.