分数阶时滞广义Logistic方程解的研究

Research on Solutions of Fractional-Order Generalized Logistic Equation with Delay

基于Banach不动点定理与分数阶微积分的相关性质,首先研究了分数阶时滞广义Logistic方程解的存在唯一性,同时得到解的一致稳定性的充分条件。最后,利用改进的Adams-Bashforth-Moulton预估-校正算法得到其数值解。

Based on the Banach fixed point theorem and properties of differential and integral calculus of fractional-order,the existence and uniqueness of solutions for the fractional-order generalized Logistic equation with delay are discussed.Some sufficient conditions for uniform stability of solutions are obtained.The numerical solution is obtained by the modified Adams-Bashforth-Moulton predictor-correc-tor scheme.