Lejdel AliTefaha Meftah SafiaNisse Lamine2024-05-302024-05-302020-02-23Lejdel Ali, Tefaha. Meftah Safia. Nisse Lamine. Study and comparison of approximate solutions of certain perturbed differential dynamic systems .International PluridisciplinaryPhD Meeting (IPPM’20). 1st Edition, February23-26, 2020. University Of Eloued. [Visited in ../../….]. Available from [copy the link here].https://dspace.univ-eloued.dz/handle/123456789/32838InterventionIn recent years, large groups of specialists have tended to study approximate solutions to different types of problems, due to the difficulty of solving them (or even the impossibility), in particular nonlinear problems. In our study, we will be interested in certain disturbed problems resulting from the modeling of different physical phenomena. We will study these approximate solutions from several different methods, then compare them to a few and find the best approximation. We will also try to compare them numerically. So the questions which arise essentially are on the one hand on the validity of such an approximate solution (in order to have a realistic representation of the modeled phenomenon), and on the other hand on the order and the estimation of the error of approximation of the exact solution (to guarantee the best possible accuracy).enPerturbationsasymptotic analysisanalytical approximationintegral and fractional derivativedifferential equationsstabilityIntervention