Existence of Three Solutions for a Nonlinear Fractional Boundary Value Problem via a Critical Points Theorem

This paper is concerned with the existence of three solutions to a nonlinear fractional boundary value problem as follows: (d/dt)((1/2)0Dtα-1(0CDtαu(t))-(1/2)tDTα-1(tCDTαu(t)))+λa(t)f(u(t))=0, a.e.  t∈[0,T],u(0)=u(T)=0, where α∈(1/2,1], and λ is a positive real parameter. The approach is based on a...

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Bibliographic Details
Main Author: Chuanzhi Bai
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/963105