Explicit Criteria for Stability of Two-Dimensional Fractional Nabla Difference Systems

In this article, we discuss a few stability properties of the Riemann-Liouville (or Caputo)-type linear two-dimensional fractional nabla difference system. For this purpose, we construct the equivalent Volterra difference system of convolution type and analyse its properties using the standard methods applied in the qualitative investigation of Volterra difference systems. Subsequently, we obtain sufficient conditions on stability of the considered fractional nabla difference system. We provide an example to illustrate the applicability of established results.