Dependence Analysis of the Solutions on the Parameters of Fractional Delay Differential Equations  

作　　者：Shuiping Yang Aiguo Xiao Xinyuan Pan 

机构地区：[1]School of Mathematics and Computational Science,Hunan Key Laboratory for Computation and Simulation in Science and Engineering,Xiangtan University,Hunan 411105,China [2]Department of Mathematics,Huizhou University,Guangdong 516007,China

出　　处：《Advances in Applied Mathematics and Mechanics》2011年第5期586-597,共12页应用数学与力学进展（英文）

基　　金：This work is supported by the NSF of China projects(No.10971175,10871207);Specialized Research Fund for the Doctoral Program of Higher Education of China(No.20094301110001);NSF of Hunan Province(No.09JJ3002,10JJ7001);the Aid program for Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province of China,and NSF of Guangdong Province(No.10151601501000003).

摘　　要：In this paper,we investigate the dependence of the solutions on the parameters(order,initial function,right-hand function)of fractional delay differential equations(FDDEs)with the Caputo fractional derivative.Some results including an estimate of the solutions of FDDEs are given respectively.Theoretical results are verified by some numerical examples.

关 键 词：Fractional delay differential equation Caputo fractional derivative DEPENDENCE 

分 类 号：O17[理学—数学]