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2009 Existence of Solutions for Nonlocal Boundary Value Problems of Higher-Order Nonlinear Fractional Differential Equations
Bashir Ahmad, Juan J. Nieto, Paul Eloe
Abstr. Appl. Anal. 2009: 1-9 (2009). DOI: 10.1155/2009/494720

Abstract

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(m1,m], m, m2, x(0)=0, x(0)=0, x′′(0)=0,,x(m2)(0)=0, x(1)=αx(η). Our results are based on the contraction mapping principle and Krasnoselskii's fixed point theorem.

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Bashir Ahmad. Juan J. Nieto. Paul Eloe. "Existence of Solutions for Nonlocal Boundary Value Problems of Higher-Order Nonlinear Fractional Differential Equations." Abstr. Appl. Anal. 2009 1 - 9, 2009. https://doi.org/10.1155/2009/494720

Information

Published: 2009
First available in Project Euclid: 16 March 2010

zbMATH: 1186.34009
MathSciNet: MR2516016
Digital Object Identifier: 10.1155/2009/494720

Rights: Copyright © 2009 Hindawi

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