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- W3149597712 abstract "In this paper,we consider the positive solutions of fractional three-point boundary value problem of the form D_0~α+u(t) + f(t,u(t),u'(t),…,u~((n-3))(t),u~((n-2))(t)) = 0,u~((i))(0) = 0,0 i n - 2,u~(n-2))(1) -βu~((n-2))(ξ) = 0,where 0 t 1,n-la≤n,n≥2,ξ,β∈(0,1),βξ~(α-n) 1.We first transform it into another equivalent boundary value problem.Then,we derive the Green's function for the equivalent boundary value problem and show that it satisfies certain properties.At last,by using some fixed-point theorems,we obtain the existence of positive solution for this problem.Example is given to illustrate the effectiveness of our result." @default.
- W3149597712 created "2021-04-13" @default.
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- W3149597712 date "2012-01-01" @default.
- W3149597712 modified "2023-09-26" @default.
- W3149597712 title "Existence of Positive Solutions of Three-point Boundary Value Problem for Higher Order Nonlinear Fractional Differential Equations" @default.
- W3149597712 hasPublicationYear "2012" @default.
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