简介:Inthelastfewyearsthenumericalmethodsforsolvingthefractionaldifferentialequationsstartedtobeappliedintensivelytorealworldphenomena.HavingthesethinksinmindinthismanuscriptwefocusonthefractionalLagrangianandHamiltonianofthecomplexBateman–FeshbachTikochinskyoscillator.ThenumericalanalysisofthecorrespondingfractionalEuler-LagrangeequationsisgivenwithintheGrünwald–Letnikovapproach,whichispowerseriesexpansionofthegeneratingfunction.