Existence and Uniqueness of Positive Solution for a Boundary Value Problem of Fractional Order

We are concerned with the existence and uniqueness of positive solutions for the following nonlinear fractional boundary value problem: D0+αu(t)+f(t,u(t))=0, 0≤t≤1, 3<α≤4, u(0)=u′(0)=u″(0)=u″(1)=0, where D0+α denotes the standard Riemann-Liouville fractional derivative. Our analysis relies on a...

Full description

Saved in:
Bibliographic Details
Main Authors: J. Caballero, J. Harjani, K. Sadarangani
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/165641
Tags: Add Tag
No Tags, Be the first to tag this record!