In this study, we consider complex-valued cellular neural networks (CVCNNs) models on time scales. In contrast to earlier research, we employ a straightforward approach to arrive at our theoretical conclusion rather than breaking the model down into real-valued or complex-valued systems. Firstly, we use the Stepanov almost automorphy on time scales, the theory of time scale calculations, the Banach fixed point theorem, and by constructing an appropriate Lyapunov function to establish the existence, uniqueness, and Stepanov-stability of Stepanov almost automorphy solution for this class of CVCNNs on time scales via a direct method. Finally, an example with simulations is given to illustrate the feasibility of our results.
Es-saiydy,M and Zitane,M . (2023). New results for a complex-valued cellular neural networks model on time scales. International Journal of Nonlinear Analysis and Applications, 14(1), 1525-1537. doi: 10.22075/ijnaa.2022.27799.3716
MLA
Es-saiydy,M , and Zitane,M . "New results for a complex-valued cellular neural networks model on time scales", International Journal of Nonlinear Analysis and Applications, 14, 1, 2023, 1525-1537. doi: 10.22075/ijnaa.2022.27799.3716
HARVARD
Es-saiydy M, Zitane M. (2023). 'New results for a complex-valued cellular neural networks model on time scales', International Journal of Nonlinear Analysis and Applications, 14(1), pp. 1525-1537. doi: 10.22075/ijnaa.2022.27799.3716
CHICAGO
M Es-saiydy and M Zitane, "New results for a complex-valued cellular neural networks model on time scales," International Journal of Nonlinear Analysis and Applications, 14 1 (2023): 1525-1537, doi: 10.22075/ijnaa.2022.27799.3716
VANCOUVER
Es-saiydy M, Zitane M. New results for a complex-valued cellular neural networks model on time scales. IJNAA. 2023;14(1):1525-1537. doi: 10.22075/ijnaa.2022.27799.3716
International Journal of Nonlinear Analysis and Applications