Two-point boundary value problems for finite fractional difference equations

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.

Keywords:

• discrete fractional calculus
• Green's function
• existence of solutions
• two-point boundary value problem

AMS Subject Classification::

• 39A12
• 44A25
• 26A33

Notes

1. [email protected]

Additional information

Notes on contributors

Ferhan M. Atıcı

1