利用不动点定理,得到了非线性分数阶中立型微分方程的解的吸引性结果.通过建立等价的分数阶积分方程,对非线性分数阶中立型微分方程吸引性的研究有效地转化成了对等价的分数阶积分方程的不动点的存在性的讨论.
In this paper, the attractivity result of solution of nonlinear fractional neutral differential equations is obtained by using the fixed point theorem. By constructing equivalent fractional integral equations, the research on the attractivity of solution of nonlinear fractional neutral differential equations is skillfully converted into the discussion about the existence of fixed point for equivalent fractional integral equations. Finally, an example is given to illustrate the result.