الفهرس 
Introduction to the Differential Equations and Differential GamesOnly 14 pages are availabe for public view
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Abstract
Nowadays,fractionalcalculushasagreatimportanceinalmostallmath- ematical fieldssuchasdifferentialequations,differentialgeometry,applied mathematics andgametheory[47]. Youness,E.A.etal.concernedwitha min-max differentialgamewithpartialdifferentialequation[44]. Wewant to highlighttheeffectoffractionalcalculusontheapplicationsofgamethe- ory anddifferentialgameinpartialdifferentialequations,duetothelack of researchonthispointbecausemostoftheresearchrelatedtodifferen- tial gamesrevolvesaroundordinarydifferentialequationsandtheybegan to applythefractionalcase,butthepartialdifferentialequationshavevery few studiesafterapplyingitthefractionalcase.Thiswillbeagoodstartto 83 openanewfieldofresearch. I suggestapplyingthefractionalcasetothepartialdifferentialequation in theresearchtitledbyMin-maxdifferentialgamewithpartialdifferential equation whichispublishedinAIMSMathematics,studyingthebehaviorof the gameanditseffectinthefractionalcase,findingasolutiontotheequa- tion usingsomeanalyticalmethodssuchasHomotopyperturbationmethod and newiterativemethod,andcomparingthemethodsofthesolution,and wewillalsoexaminetheaccuracyofthesolutionbyusingtheresidualerror to thetwomethods.Also,wesubmittedaresearchonpartialdifferential equations andtheirapplicationtoCoronavirusthroughthedifferentialgame and theresultsofthisresearchareinchapter4.Iwouldliketocompletethis researchwithanewpointandaddthefractionalcalculustotheresearchand see itseffectonthegameandthespreadingofthediseaseandtheinfection among thepopulation.