Existence uniqueness and stability analysis of solutions for the fractional fuzzy cellular neural networks with impulse and reaction diffusion
The existence, uniqueness and stability of the solution of a class of fractional-order delayed fuzzy cellular neural networks are discussed. Different from previous literature, the effects of reaction-diffusion, impulsive perturbations and time-varying delays are under consideration. The analysis ca...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor & Francis Group
2025-12-01
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| Series: | Mathematical and Computer Modelling of Dynamical Systems |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/13873954.2025.2515875 |
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| Summary: | The existence, uniqueness and stability of the solution of a class of fractional-order delayed fuzzy cellular neural networks are discussed. Different from previous literature, the effects of reaction-diffusion, impulsive perturbations and time-varying delays are under consideration. The analysis can be applied to the qualitative theory of different classes of fractional-order neural network models in engineering, biology and medicine. First, the Lyapunov function method is used. A positive definite Lyapunov function is constructed, and parameters are computed to make its derivatives are negative definite, thus obtaining the global Mittag-Leffler stability criterion. Second, the compression mapping method is used to obtain the criterion of existence and uniqueness of the solution. The state update of a neural network can be viewed as a mapping, and if this mapping is compressed, there is a unique solution. Finally, two numerical examples are given to show the effectiveness and characteristics of the obtained theoretical results. |
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| ISSN: | 1387-3954 1744-5051 |