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Title: Novel Results for the Stability of h-Discrete Fractional Neural Networks with Nonsingular and Nonlocal Kernels
Authors: Amel Hioual
Journal: Innovative journal of mathematics
Year: 2022
Volume: 1
Issue: 3
Language: en
Keywords: discrete-time fractional neural networksh-discrete nabla ABC fractional operatorSchauder fixed point theoremUlam-Hyers stability
We investigate at a novel type of nonlinear discrete-time fractional neural networks using the h-discrete nabla ABC fractional operator. To derive appropriate criteria for the existence and uniqueness of solutions to the issues at hand, we apply basic fixed-point theory techniques. Furthermore, The Ulam-Hyers stability of the considered model, as well as significant findings, are shown. Moreover, to highlight the validity of the presented conclusions, two and three-dimensional examples are explored.
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