AICHE, IlhamSupervisor: ABDELKEBIR, Saad2023-07-122023-07-122023-06-10http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/40397In this work, two coupled systems for nonlinear time-conformable fractional reaction-diffusion equation with delay have been considered. Under some hypotheses in given data we have proved first the existence of the solution for both systems by using Leary-Schauder fixed point theorem. After, we have showed the uniqueness of the solution for the same two systems by using the contraction mapping theorem.enNonlinear reaction-diffusion equation, fractional conformable calculus, delay, Leary-Schauder fixed point theorem, contraction mapping theorem.Thesis