一类带脉冲时滞中立型分数阶微分方程适度解的存在唯一性  

Existence and Uniqueness of Neutral Fractional Differential Equation with Moderate Solution at First Band Pulse

作　　者：董彪 蒲志林[2] Dong Biao;Pu Zhilin(Research Institute of mathematics,Aba Teachers University,Wenchuan 823002,China;College of Mathematics and Soft-ware Science,Sichuan Normal University,Chengdu 810088,China)

机构地区：[1]阿坝师范学院数学研究所,四川汶川623002 [2]四川师范大学数学与软件学院,四川成都610066

出　　处：《甘肃科学学报》2018年第4期8-12,共5页Journal of Gansu Sciences

基　　金：四川省教育厅自然科学基金(12ZB168;13ZA0040);阿坝师范学院重点课题(ASB15-22;ASA15-09;ASA13-14);四川省科研创新团队项目(TB0040)

摘　　要：在Riemann-Liouville分数阶微分积分的基础上,利用压缩原理,得到了在满足一定的条件下,带脉冲时滞中立型分数阶微分方程存在唯一的适度解,并推广相关文献的结论。In recent years,fractional calculus theory has been widely used in many fields,attracting a lot of scholars to study it,get a number of results in moderate solution and positive solution in fractional calculus equation.Among them,existence and uniqueness of neutral fractional differential equation with moderate solution is a hot topic.Based on Riemann-Liouville fractional differential integral,with compressing principle,get that under some condition,neutral fractional differential equation（3）with pulse has only moderate solution,and generalize related conclusions of articles.

关 键 词：分数阶微分方程 Riemann-Liouville分数阶微分 半线性 脉冲 

分 类 号：O175.8[理学—数学]