MESSAOUD, HadjerMEKHALFI, Kheira2024-12-102024-12-102023http://dspace.univ-temouchent.edu.dz/handle/123456789/5879This memoryisdedicatedtotheresolutionofordinarydi erentialequationandalso of fractionalorder.Wegivesomefundamentalpreliminarynotionsusedinfractional calculation. Wepresentsomenumericalmethodstosolvetheordinarydi erentialequationsor- der 1 likeEuler'smethod,theRunge-kuttamethod 2 and 4, Taylor'smethod. Finally,weexplainthemethodofDemirciandOzalp,themethodsADM,HPM, VIM tosolvenumericallythefractionaldi erentialequations.frThesis