Electronic Journal of Differential Equations, Vol. 2020 (2020), No. 25, pp. 1-19. Title: Sub-super solution method for nonlocal systems involving the p(x)-Laplacian operator Authors: Gelson C. G. dos Santos (Univ. Federal do Para, Belem, PA, Brazil) Giovany M. Figueiredo (Univ.de Brasilia, Brasilia, DF, Brazil) Leandro S. Tavares (Univ. Federal do Cariri, Juazeiro do Norte, CE, Brazil) Abstract: In this article we study the existence of solutions for nonlocal systems involving the p(x)-Laplacian operator. The approach is based on a new sub-super solution method. Submitted April 9, 2019. Published March 19, 2020. Math Subject Classifications: 35J60. Key Words: Fixed point argument; nonlocal problem; $p(x)$-Laplacian; sub-super solutions.