Exponential input‐to‐output practical stability of conformable fractional‐order systems

Abstract This paper introduces novel input‐to‐output stability concepts, namely fractional exponential input‐to‐output practical stability (FE‐IOPS) for conformable fractional‐order systems. We establish sufficient Lyapunov conditions to ensure these stability properties in nonlinear fractional systems with conformable derivatives. Additionally, we investigate the practical stability of fractional exponential output in nonlinear fractional‐order systems without external input. Building on these results, we analyze the FE‐IOPS of perturbed conformable fractional‐order systems. Finally, a numerical example is presented to illustrate the effectiveness of the proposed methodology.