Abstract non-scalar Volterra difference equations

Abstract

In this paper, we investigate the abstract non-scalar Volterra difference equations. We employ the Poisson like transforms to connect the solutions of the abstract non-scalar Volterra integro-differential equations and the abstract non-scalar Volterra difference equations. We also investigate the existence, uniqueness and almost periodicity of solutions to the abstract multi-term fractional difference equations with Weyl fractional derivatives.