Robust non-fragile Mittag-Leffler synchronization of fractional order non-linear complex dynamical networks with constant and infinite distributed delays

The present article is an attempt to investigate the robust non-fragile Mittag-Leffler synchronization of fractional order non-linear complex dynamical networks with uncertain parameters and mixed delays. First, we develop a generalized fractional order complex dynamical network (GFOCDN) and then derive its synchronization criteria by using certain Lemmas based on the theory of Lyapunov stability and, second, by adding parameters of uncertainty to the GFOCDN and derive the synchronization analysis by including the appropriate non-fragile controller into the system model to achieve a non-fragile Mittag-Leffler synchronization. Third, we incorporate the parameter uncertainty into the inner couplings and derive as a special case to achieve its synchronization. Finally, we present two numerical simulations to show the reliability of our proposed work.