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New results for a complex-valued cellular neural networks model on time scales | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 116، دوره 14، شماره 1، فروردین 2023، صفحه 1525-1537 اصل مقاله (498.44 K) | ||
| نوع مقاله: Review articles | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27799.3716 | ||
| نویسندگان | ||
| Mohssine Es-saiydy* ؛ Mohamed Zitane | ||
| Moulay Ismail University, Faculty of Sciences, Department of Mathematics, MACS laboratory, Meknes, Morocco | ||
| تاریخ دریافت: 22 تیر 1401، تاریخ بازنگری: 24 مهر 1401، تاریخ پذیرش: 14 آبان 1401 | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Time scales؛ complex-valued cellular neural networks؛ Stepanov almost automorphy | ||
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