Monotone and Concave Positive Solutions to a Boundary Value Problem for Higher-Order Fractional Differential Equation

We consider boundary value problem for nonlinear fractional differential equation D0+αu(t)+f(t,u(t))=0,  0<t<1,  n-1<α≤n,  n>3,  u(0)=u'(1)=u′′(0)=⋯=u(n-1)(0)=0, where D0+α denotes the Caputo fractional derivative. By using fixed point theorem, we obtain some new results for the exi...

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Bibliographic Details
Main Authors: Jinhua Wang, Hongjun Xiang, Yuling Zhao
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/430457