Asymptotic stability for Hilfer-like nabla nonlinear fractional difference equations

This article examines the asymptotic stability of nonlinear fractional difference equations with a Hilfer-like nabla operator. The results for a Hilfer-type nabla fractional difference that contains Riemann-Liouville and Caputo nabla difference as a particular case. We use Picard's iteration and a fixed point theorem to obtain results on existence and uniqueness. To obtain the main results, we use linear a scalar fractional difference equality, discrete comparison principle, and basics of difference equations. We also present a Lyapunov second direct method for nonlinear discrete fractional systems. We also discus stability results with some numerical examples. For more information see https://ejde.math.txstate.edu/conf-proc/27/s1/abstr.html