On the Qualitative Results of Riemann-Liouville Fractional Order Nonlinear Neutral Singular Systems With Mixed Delays

Abstract

In this manuscript, we discuss new conditions for asymptotic stability of nonlinear RiemannLiouville fractional mixed-delay neutral singular systems. By constructing a set of improved Lyapunov-Krasovskii functionals (LKFs), we establish some new delay-dependent conditions in terms of matrix inequality, which guarantees that the systems are asymptotically stable. In the particular case, we give four numerical examples with their solutions and graphs via MATLAB software demonstrating the practical applicability of these proven conditions. With this study, some conditions existing in the literature are developed and generalized.