Abstract
We are concerned with the analysis of the neural networks of worms in wireless sensor networks (WSN). The concerned process is considered in the form of a mathematical system in the context of fractal fractional differential operators. In addition, the Banach contraction technique is utilized to achieve the existence and unique outcomes of the given model. Further, the stability of the proposed model is analyzed through functional analysis and the Ulam-Hyers (UH) stability technique. In the last, a numerical scheme is established to check the dynamical behavior of the fractional fractal order WSN model.
Original language | English |
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Pages (from-to) | 26406-26424 |
Number of pages | 19 |
Journal | AIMS Mathematics |
Volume | 8 |
Issue number | 11 |
DOIs | |
Publication status | Published - 2023 |
Externally published | Yes |
Keywords
- Banach contraction
- Mittag-Leffler kernel
- Ulam-Hyers stability
- fractal-fractional operator
- neural networking
- numerical analysis