2024
DOI: 10.1002/mma.10111
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Mittag‐Leffler stability of neural networks with Caputo–Hadamard fractional derivative

Elif Demirci,
Fatma Karakoç,
Aysen Kütahyalıoglu

Abstract: In this paper, a Hopfield‐type neural network system with Caputo–Hadamard fractional derivative is discussed. The importance of the existence of the equilibrium point in the analysis of artificial neural networks is well known. Another important investigation is the stability properties. So, the stability of a neural network system is dealt with in the present paper. First, a theorem that asserts the existence and uniqueness of the equilibrium point of the system is proven. Later, the conditions that ensure th… Show more

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