Solutions of Sign-Changing Fractional Differential Equation with the Fractional Derivatives

We study the singular fractional-order boundary-value problem with a sign-changing nonlinear term -𝒟αx(t)=p(t)f(t,x(t),𝒟μ1x(t),𝒟μ2x(t),…,𝒟μn-1x(t)),0<t<1,𝒟μix(0)=0,1≤i≤n-1,𝒟μn-1+1x(0)=0, 𝒟μn-1x(1)=∑j=1p-2aj𝒟μn-1x(ξj), where n-1<α≤n, n∈ℕ and n≥3 with 0<μ1<μ2<⋯<μn-...

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Bibliographic Details
Main Authors: Tunhua Wu, Xinguang Zhang, Yinan Lu
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/797398