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Zbl 1215.39002
At ic i, Ferhan M.; Eloe, Paul W.
Two-point boundary value problems for finite fractional difference equations.
(English)
[J] J. Difference Equ. Appl. 17, No. 4, 445-456 (2011). ISSN 1023-6198

For the fractional difference equation $$-\Delta^\nu y(t)= h(t+ \nu- 1)g(y(t+ \nu- 1)),$$ where $1< \nu\le 2$ and $b\ge 2$ an integer, a solution is constructed subject to the boundary conditions $y(\nu- 1)= y(\nu+ b-1)= 0$ by means of the corresponding Green's function.
[Lothar Berg (Rostock)]
MSC 2000:
*39A12 Discrete version of topics in analysis
39A20 Generalized difference equations

Keywords: fractional difference equation; boundary value problem; Green's function

Cited in: Zbl 1253.26010

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