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

Published online by Cambridge University Press:  03 June 2015

Shuiping Yang ,
Aiguo Xiao  and
Xinyuan Pan
Shuiping Yang*
Affiliation:
School of Mathematics and Computational Science, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Hunan 411105, China Department of Mathematics, Huizhou University, Guangdong 516007, China
Aiguo Xiao*
Affiliation:
School of Mathematics and Computational Science, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Hunan 411105, China
Xinyuan Pan*
Affiliation:
School of Mathematics and Computational Science, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Hunan 411105, China
*
Email: yang52053052@yahoo.com.cn
Corresponding author. Email: xag@xtu.edu.cn
Email: panxinyuan198312@163.com
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Abstract

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.

Keywords

34A0834A1034A1234K37Fractional delay differential equationCaputo fractional derivativedependence
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 3 , Issue 5 , October 2011 , pp. 586 - 597
Copyright
Copyright © Global-Science Press 2011

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