Two-point boundary value problems for finite fractional difference equations. (English) Zbl 1215.39002

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.


39A12 Discrete version of topics in analysis
39A20 Multiplicative and other generalized difference equations
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