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Pseudo S-Asymptotically $$\omega $$-Antiperiodic Solutions for SICNNs with Mixed Delays. Neural Process Lett 2022. [DOI: 10.1007/s11063-022-11091-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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Abstract
In this manuscript, we studied a class of delayed Fuzzy Genetic Regulatory Networks (FGRNs) with Stepanov-like weighted pseudo almost automorphic coefficients. New criteria for the existence, uniqueness and global exponential stability of its weighted pseudo almost automorphic solution are established. Our approach is based on Banach fixed point theorem and novel analysis techniques. Moreover, a numerical example is given to illustrate the validity of the obtained results.
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Affiliation(s)
- Chaouki Aouiti
- University of Carthage, Faculty of Sciences of Bizerta, Department of Mathematics, Research Units of Mathematics and Applications UR13ES47, 7021 Zarzouna, Bizerta, Tunisia
| | - Farah Dridi
- University of Carthage, Faculty of Sciences of Bizerta, Department of Mathematics, Research Units of Mathematics and Applications UR13ES47, 7021 Zarzouna, Bizerta, Tunisia
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Li Y, Qin J. Existence and global exponential stability of anti-periodic solutions for generalised inertial competitive neural networks with time-varying delays. J EXP THEOR ARTIF IN 2019. [DOI: 10.1080/0952813x.2019.1647564] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
Affiliation(s)
- Yongkun Li
- Department of Mathematics, Yunnan University, Kunming, Yunnan, People’s Republic of China
| | - Jiali Qin
- Department of Mathematics, Yunnan University, Kunming, Yunnan, People’s Republic of China
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Jmal A, Ben Makhlouf A, Nagy AM, Naifar O. Finite-Time Stability for Caputo–Katugampola Fractional-Order Time-Delayed Neural Networks. Neural Process Lett 2019. [DOI: 10.1007/s11063-019-10060-6] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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Xu C. Anti-periodic oscillations in fuzzy cellular neural networks with time-varying delays. J EXP THEOR ARTIF IN 2019. [DOI: 10.1080/0952813x.2019.1591524] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
Affiliation(s)
- Changjin Xu
- Guizhou Key Laboratory of Economics System Simulation, Guizhou University of Finance and Economics, Guiyang, PR China
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