LABIDI, Sara2025-09-292025-09-292025https://dspace.univ-annaba.dz//handle/123456789/4129In this thesis, we are interested in the study of some systems of partial derivative equations. Using the theory of semigroups and the Faedo-Galerkin method, we establish the existence and uniqueness results of the solutions of some thermos-elastic systems of porous types via Lord Shulman's law with a neutral delay. Afterwards, an exponential, polynomial and general stability results of the solution were proven based on the multipliers technique which consists to construct a Lyapunov functional equivalent to the energy of the systems studied.PDFenpolynomial stability; Faedo-Galerkin method; porous-elastic systemThesis