Atıcı, Ferhan M.; Eloe, Paul W. Two-point boundary value problems for finite fractional difference equations. (English) Zbl 1215.39002 J. Difference Equ. Appl. 17, No. 4, 445-456 (2011). For the fractional difference equation \[ -\Delta^\nu y(t)= h(t+ \nu- 1)g(y(t+ \nu- 1)), \] where \(1< \nu\leq 2\) and \(b\geq 2\) 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. Reviewer: Lothar Berg (Rostock) Cited in 1 ReviewCited in 139 Documents MSC: 39A12 Discrete version of topics in analysis 39A20 Multiplicative and other generalized difference equations Keywords:fractional difference equation; boundary value problem; Green’s function PDFBibTeX XMLCite \textit{F. M. Atıcı} and \textit{P. W. Eloe}, J. Difference Equ. Appl. 17, No. 4, 445--456 (2011; Zbl 1215.39002) Full Text: DOI