Existence of Solutions for Nonlocal Boundary Value Problems of Higher-Order Nonlinear Fractional Differential Equations

We study some existence results in a Banach space for a nonlocal boundary value problem involving a nonlinear differential equation of fractional order q given by cDqx(t)=f(t,x(t)), 0<t<1, q∈(m−1,m], m∈ℕ, m≥2, x(0)=0, x′(0)=0, x′′(0)=0,…,x(m−2)(0)=0, x(1)=αx(η). Our results are based on the co...

Full description

Bibliographic Details
Main Authors: Bashir Ahmad, Juan J. Nieto
Format: Article
Language:English
Published: Hindawi Limited 2009-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2009/494720