NEW EXISTENCE RESULTS OF POSITIVE SOLUTION FOR A CLASS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS

(整期优先)网络出版时间:2013-03-13
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Inthisarticle,theexistenceanduniquenessofpositivesolutionforaclassofnonlinearfractionaldifferentialequationsisprovedbyconstructingtheupperandlowercontrolfunctionsofthenonlineartermwithoutanymonotonerequirement.OurmainmethodtotheproblemisthemethodofupperandlowersolutionsandSchauderfixedpointtheorem.Finally,wegiveanexampletoilluminateourresults.