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Applicable Analysis
An International Journal
Volume 92, 2013 - Issue 10
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Articles

Fractional boundary value problems with integral boundary conditions

John R. Graef Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USACorrespondence[email protected]
,
Lingju Kong Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA
,
Qingkai Kong Department of Mathematics, Northern Illinois University, DeKalb, IL 60115, USA
&
Min Wang Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA
Pages 2008-2020 | Received 20 Dec 2011, Accepted 19 Jul 2012, Published online: 29 Aug 2012
 
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Abstract

In this article, we study a type of nonlinear fractional boundary value problem with integral boundary conditions. By constructing an associated Green's function, applying spectral theory and using fixed point theory on cones, we obtain criteria for the existence, multiplicity and nonexistence of positive solutions.

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