Weighted pseudo almost automorphic solutions for neutral type fuzzy cellular neural networks with mixed delays and D operator in Clifford algebra

Abstract

The main aim of this work is to study a class of neutral type Fuzzy Cellular Neural Networks (FCNNs) with mixed delays and D operator. New criteria are established for the existence, uniqueness and global exponential stability of weighted pseudo almost automorphic solutions for the addressed model in Clifford algebra. Our approach is based on Banach's fixed point principle and differential inequality techniques. Finally, numerical example is given to demonstrate the effectiveness of the theoretical results.

Keywords:

• Fuzzy cellular neural networks
• weighted pseudo almost automorphic functions
• D operator
• Clifford algebra

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Notes on contributors

Chaouki Aouiti

Chaouki Aouiti graduated from the Faculty of Sciences ofTunis, University Tunis El Manar (1995). He obtained the MS degree in Applied Mathematics from the National Engineering School of Tunis, University Tunis ElManar in 1997. He obtained a PhD and then an HDR both in Applied Mathematics in 2003 and 2017 respectively. He is currently an Associate Professor in Applied Mathematics at Faculty of Sciences of Bizerta, University of Carthage. His research interests include Neural networks, Dynamical systems, Differential equations, Almost periodic differential equation, Almost automorphic differential equation. Dr Chaouki, currently, serves as a reviewer of several international journals and a Program Committee for various international conferences.

Farah Dridi

Farah Dridi was born in Menzel Bourguiba, Tunisia. She graduated from the Faculty of Sciences of Bizerta, University of Charthage (Tunisia) in 2013. She obtained the Master degree in Mathematics in 2016. Presently, she is working towards the PhD degree in Mathematics at University of Carthage. Her major research interests include artificial neural networks, almost automorphic solutions, pseudo almost automorphic solutions, impulsive dynamical systems.