Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 14 1 2023 01 01 New results for a complex-valued cellular neural networks model on time scales 1525 1537 7118 10.22075/ijnaa.2022.27799.3716 EN Mohssine Es-saiydy Moulay Ismail University, Faculty of Sciences, Department of Mathematics, MACS laboratory, Meknes, Morocco Mohamed Zitane Moulay Ismail University, Faculty of Sciences, Department of Mathematics, MACS laboratory, Meknes, Morocco Journal Article 2022 07 13 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. time scales complex-valued cellular neural networks Stepanov almost automorphy https://ijnaa.semnan.ac.ir/article_7118_bc19986e5c658d4135bd559a0b37c0bc.pdf