Solvability and Stability for Singular Fractional $(p, q)$-Difference Equation

Abstract

In this paper, we initiate the solvability and stability for a class of singular fractional $(p, q)$-difference equations. First, we obtain an existence theorem of solution for the fractional $(p, q)$-difference equation. Then, by using a fractional $(p, q)$-Gronwall inequality, some stability criteria of solution are established, which also implies the uniqueness of solution.