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Volume 3, Issue 5
Dependence Analysis of the Solutions on the Parameters of Fractional Delay Differential Equations

Shuiping Yang, Aiguo Xiao & Xinyuan Pan

Adv. Appl. Math. Mech., 3 (2011), pp. 586-597.

Published online: 2011-03

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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.

  • AMS Subject Headings

34A08, 34A10, 34A12, 34K37

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COPYRIGHT: © Global Science Press

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@Article{AAMM-3-586, author = {Yang , ShuipingXiao , Aiguo and Pan , Xinyuan}, title = {Dependence Analysis of the Solutions on the Parameters of Fractional Delay Differential Equations}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2011}, volume = {3}, number = {5}, pages = {586--597}, 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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.10-m1045}, url = {http://global-sci.org/intro/article_detail/aamm/184.html} }
TY - JOUR T1 - Dependence Analysis of the Solutions on the Parameters of Fractional Delay Differential Equations AU - Yang , Shuiping AU - Xiao , Aiguo AU - Pan , Xinyuan JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 586 EP - 597 PY - 2011 DA - 2011/03 SN - 3 DO - http://doi.org/10.4208/aamm.10-m1045 UR - https://global-sci.org/intro/article_detail/aamm/184.html KW - Fractional delay differential equation, Caputo fractional derivative, dependence. AB -

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.

Shuiping Yang, Aiguo Xiao & Xinyuan Pan. (1970). Dependence Analysis of the Solutions on the Parameters of Fractional Delay Differential Equations. Advances in Applied Mathematics and Mechanics. 3 (5). 586-597. doi:10.4208/aamm.10-m1045
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