两类分数延迟微分方程及其数值方法渐近稳定性

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-TheasymptoticstabilityoftwotypesfractionalorderdelaydifferentialequationsandsomenumericalmethodsCandidateXinyuanPanSupervisorandRankProf.AiguoXiaoCollegeMathematicsandComput

2、ationalScienceProgramComputationalMathematicsSpecializationNumericalMethodsforFractionalOrderDifferentialEquationsDegreeMasterofScienceUniversityXiangtanUniversityDateApril30th,2009).**/01+%3Æ  

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6、.,8:9:9Æ9:/01; /Æ9:<31; /Æ=>?00;94 1IAbstractInrecentyears,fractionalorderdifferentialequationshavebeenwidelyusedinmaterialsscience,computationalbiology,chemistrykinetics,controltheory,diffusiontheoryandotherfields,andthecorrespondingtheoriesaredevelopingmoreandmorecompl

7、ete.Atthesametime,becauseofthewideapplicationsofthefractionalorderfunctionaldifferentialequationsinecology,scienceofenviron-ment,electricengineering,automaticcontroletc,thefractionalorderfunctionaldifferentialequationsareattractingpeople’sattentionmoreandmore.However,thestudyof

8、correspondingtheoriesandapplicationsaresopoor,especiallythetheorieso