A Survey on the Oscillation of Solutions for Fractional Difference Equations

Abstract

In this paper, we present a systematic study concerning the developments of the oscillation results for the fractional difference equations. Essential preliminaries on discrete fractional calculus are stated prior to giving the main results. Oscillation results are presented in a subsequent order and for different types of equations. The investigation was carried out within the delta and nabla operators.

Keywords

• fractional order
• forward (delta) difference equation
• backward (nabla) difference equation
• oscillation of solutions