EXISTENCE AND UNIQUENESS RESULTS FOR BOUNDARY VALUE PROBLEMS OF HIGHER ORDER FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS INVOLVING GRONWALL'S INEQUALITY IN BANACH SPACES

(整期优先)网络出版时间:2013-03-13
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Westudyboundaryvalueproblemsforfractionalintegro-differentialequationsinvolvingCaputoderivativeoforderα∈(n-1,n)inBanachspaces.ExistenceanduniquenessresultsofsolutionsareestablishedbyvirtueoftheHolder'sinequality,asuitablesingularGronwall'sinequalityandfixedpointtheoremviaaprioriestimatemethod.Atlast,examplesaregiventoillustratetheresults.