Existence of positive solutions for a class of nonlinear fractional differential equations with integral boundary conditions and a parameter

Existence of positive solutions for a class of nonlinear fractional differential equations with integral boundary conditions and a parameter

In this paper, we study the existence of positive solutions for the following nonlinear fractional differential equations with integral boundary conditions: D0α+u(t) +h(t)f(t,u(t)) = 0, 0<t<1, u(0) = u′(0) = u″(0) = 0, u(1) = λ∫0ηu(s)ds, where 3 < α ≤ 4,0 < η ≤ 1, 0 -< ληαα <1, D0+...

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Bibliographic Details
Main Authors: Zhang, X., Wang, L., Sun, Qian
Format: Journal Article
Published: Elsevier Inc. 2014
Subjects:
Positive solution
Fixed point theorem
Green’s function
Integral boundary conditions
Fractional differential equation
Online Access:http://hdl.handle.net/20.500.11937/31431

Internet

http://hdl.handle.net/20.500.11937/31431

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