A stability criterion for fractional-order complex-valued differential equations with distributed delays

Abstract In this paper, we investigate the global asymptotic stability of fractional-order complex-valued differential equations with distributed delays. Based on the Laplace transform method, a novel necessary and sufficient condition for the stability is established by imbedding the characteristic equation into two-dimensional complex system. The algebraical criterion is expressed by the fractional exponent, coefficients and the delay. Finally, two numerical examples are given to show the feasibility and effectiveness of the theoretical results.