$$\alpha $$α-Exponential Stability of Impulsive Fractional-Order Complex-Valued Neural Networks with Time Delays
Sign Up to like & getrecommendations! Published in 2019 at "Neural Processing Letters"
DOI: 10.1007/s11063-018-9938-x
Abstract: This paper investigates the global $$\alpha $$α-exponential stability of impulsive fractional-order complex-valued neural networks with time delays. By constructing proper Lyapunov–Krasovskii functional and employing fractional-order complex-valued differential inequality, some sufficient conditions are obtained to ensure… read more here.
Keywords: alpha exponential; order; order complex; complex valued ... See more keywords
Computation of zeros of the alpha exponential function
Sign Up to like & getrecommendations! Published in 2017 at "Computational Mathematics and Mathematical Physics"
DOI: 10.1134/s0965542517060136
Abstract: This paper deals with the function F(α; z) of complex variable z defined by the expansion $$F\left( {\alpha ;z} \right) = \sum\nolimits_{k = 0}^\infty {\frac{{{z^k}}}{{{{\left( {k!} \right)}^\alpha }}}} $$F(α;z)=∑k=0∞zk(k!)α which is a natural generalization of… read more here.
Keywords: function; computation zeros; exponential function; alpha exponential ... See more keywords