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POSITIVE SOLUTIONS TO BOUNDARY VALUE PROBLEM OF FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATION
Authors:Limei Song
Institution:Limei Song School of Math.,Jiaying University,Meizhou 514015,Guangdong
Abstract:In this paper,we establish sufficient conditions for the existence of positive solutions to a general class of integral boundary value problem(BVP) of nonlinear fractional functional differential equation.A differential operator is taken in the RiemannLiouville sense.Our analysis relies on the Krasnosel’skii fixed-point theorem in cones.We also give examples to illustrate the applicability of our results.
Keywords:fractional functional differential equation  boundary value problem  positive solution  fixed-point theorem in cones
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