Positive Solutions of Nonlinear Eigenvalue Problems for a Nonlocal Fractional Differential Equation

By using the fixed point theorem, positive solutions of nonlinear eigenvalue problems for a nonlocal fractional differential equation D0+αu(t)+λa(t)f(t,u(t))=0,  0<t<1,   u(0)=0,  u(1)=Σi=1∞αiu(ξi) are considered, where 1<α≤2 is a real number, λ is a positive parameter, D0+α is the standard...

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Bibliographic Details
Main Authors: Xiaoling Han, Hongliang Gao
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2011/725494