Stability of Delay Hopfield Neural Networks with Generalized Riemann–Liouville Type Fractional Derivative
Ravi P. Agarwal,
Snezhana Hristova
Abstract:The general delay Hopfield neural network is studied. We consider the case of time-varying delay, continuously distributed delays, time-varying coefficients, and a special type of a Riemann–Liouville fractional derivative (GRLFD) with an exponential kernel. The kernels of the fractional integral and the fractional derivative in this paper are Sonine kernels and satisfy the first and the second fundamental theorems in calculus. The presence of delays and GRLFD in the model require a special type of initial cond… Show more
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