Two-point boundary value problems for finite fractional difference equations |
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| Authors: | Ferhan M. Atıcı |
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| Affiliation: | Department of Mathematics and Computer Science , Western Kentucky University , Bowling Green, KY, 42101-3576, USA |
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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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| Keywords: | discrete fractional calculus Green's function existence of solutions two-point boundary value problem |
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