非线性分数阶中立型微分方程的解的吸引性  

Attractivity of Nonlinear Fractional Neutral Differential Equations

作　　者：杨军[1] 葛艳芳[1] 赵硕[1] 张波[1] 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《河南大学学报（自然科学版）》2013年第5期483-487,共5页Journal of Henan University:Natural Science

基　　金：国家自然科学基金(60604004);河北省自然科学基金数学研究专项资助项目(07M005);秦皇岛市科技支撑项目(201001A037;201101A168)

摘　　要：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.

关 键 词：非线性分数阶微分方程 吸引性 不动点定理 

分 类 号：O175.7[理学—数学]