Synchronization stability of Riemann–Liouville fractional delay-coupled complex neural networks

Finite-time synchronization criterion of graph theory perspective fractional-order coupled discontinuous neural networks

“…The global synchronization criterion of FOCDNs by using graph theory techniques was analyzed in [53]. In [62,63], the authors investigated the synchronization criterion of FO-CONNs by using the LMI technique and Kronecker product technique. Besides, it is helpful for us to demonstrate our required finite-time synchronization and adaptive finitetime synchronization criterion from the results obtained in the aforementioned references [53,62,63,69,70].…”

“…CONNs have been applied in numerous fields like harmonic oscillation generation, image encryption, and classification (see [60,61]). In recent years, some significant related results of the fractional-order CONNs can be witnessed in the previous literature (see [62,63]). Even though there exist numerous fractional-order CONNs, so far, most of them have considered the case of continuous neuron activations only.…”

Out Lag Synchronization of Fractional Order Delayed Complex Networks with Coupling Delay via Pinning Control

“…Remark . Unlike LMI method [33] for discussing the synchronization of coupled-delay FOCN, we here apply the comparison theorem via pinning control to establish the synchronization criteria for the FOCN with delayed couplings.…”

Analytical solution of the generalized Bagley–Torvik equation

“…Up to now, there have been various fractional operators based on many kinds of kernels including the power law kernel [1][2][3], the exponential law kernel [4][5][6][7], the Mittag-Leffler function kernel [8,9], and the sinc-function kernel [10,11]. And they appear frequently in the various applications in viscoelasticity [12,13], rheology [14,15], economy [16], bioengineering [17], electronic circuits [18], control theory [19][20][21], heat transfer [22][23][24], diffusion equation [9,25,26], some special equations [27][28][29], etc.…”