Finite-time stability of nonlinear Caputo difference equations via uncertainty theory

Based on uncertainty theory, the finite-time stability of nonlinear Caputo difference equations is primarily investigated in the mean sense. By employing the Gronwall inequality technique, sufficient conditions are derived to guarantee the finite-time stability in mean of nabla Caputo fractional-order uncertain difference equations. Furthermore, the finite-time stability for a novel class of uncertain fractional-order neural networks is analyzed in the discrete-time setting. Finally, two illustrative examples are presented to verify the effectiveness of the obtained results.