Controllability of discrete-time semilinear Riemann–Liouville-like fractional equations

Abstract

This article utilizes the Riemann–Liouville-like fractional operator to investigate certain sufficient conditions for the approximate controllability of discrete-time fractional evolution equations. We describe our main results utilizing a sequential approach, the theory of difference equations, and the connection between a class of sequences of operators and C0-semigroups. On the nonlinear term, we impose the Lipschitz-type condition. Finally, a few examples are provided to demonstrate how the outcomes might be used.