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Journal of Difference Equations and Applications Volume 17, 2011 - Issue 4
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Original Articles

Two-point boundary value problems for finite fractional difference equations

Ferhan M. Atıcı Department of Mathematics and Computer Science, Western Kentucky University, Bowling Green, KY, 42101-3576, USAView further author information
&
Paul W. Eloe Department of Mathematics, University of Dayton, Dayton, OH, 45469-2316, USACorrespondence[email protected]
Pages 445-456 | Received 02 Mar 2009, Accepted 08 May 2009, Published online: 06 Jan 2011
 
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Abstract

In this paper, we introduce a two-point boundary value problem for a finite fractional difference equation. We invert the problem and construct and analyse the corresponding Green's function. We then provide an application and obtain sufficient conditions for the existence of positive solutions for a two-point boundary value problem for a nonlinear finite fractional difference equation.

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Ferhan M. Atıcı

1

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