Mittag–Leffler stability of nonlinear fractional neutral singular systems

This paper studies Mittag–Leffler stability of nonlinear fractional neutral singular systems under Caputor and Riemann–Liouville derivatives. Several sufficient conditions are derived by extending Lyapunov direct method to such systems. Our theoretical results can also be applied to general fractional retarded, neutral and singular systems.

► Nonlinear fractional neutral singular systems have not been investigated.
► Several sufficient conditions of Mittag–Leffler stability are obtained by extending Lyapunov direct method to such systems.
► The obtained results can be applied to fractional retarded and neutral systems.
► The obtained results can also be applied to neutral singular systems.