Volume 8, Issue 5
Dependence Analysis of the Solutions on the Parameters of Fractional Neutral Delay Differential Equations

Shuiping Yang

DOI: 10.4208/aamm.2013.m436

Adv. Appl. Math. Mech., 8 (2016), pp. 772-783.

Published online: 2018-05

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  • Abstract

In this paper, we discuss the dependence of the solutions on the parameters (order, initial function, right-hand function) of fractional neutral delay differential equations (FNDDEs). The corresponding theoretical results are given respectively. Furthermore, we present some numerical results that support our theoretical analysis.

  • Keywords

Fractional neutral delay differential equations, Caputo fractional derivative, dependence.

  • AMS Subject Headings

34A08, 34A12, 34K40

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-8-772, author = {}, title = {Dependence Analysis of the Solutions on the Parameters of Fractional Neutral Delay Differential Equations}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {8}, number = {5}, pages = {772--783}, abstract = {

In this paper, we discuss the dependence of the solutions on the parameters (order, initial function, right-hand function) of fractional neutral delay differential equations (FNDDEs). The corresponding theoretical results are given respectively. Furthermore, we present some numerical results that support our theoretical analysis.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2013.m436}, url = {http://global-sci.org/intro/article_detail/aamm/12115.html} }
TY - JOUR T1 - Dependence Analysis of the Solutions on the Parameters of Fractional Neutral Delay Differential Equations JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 772 EP - 783 PY - 2018 DA - 2018/05 SN - 8 DO - http://dor.org/10.4208/aamm.2013.m436 UR - https://global-sci.org/intro/aamm/12115.html KW - Fractional neutral delay differential equations, Caputo fractional derivative, dependence. AB -

In this paper, we discuss the dependence of the solutions on the parameters (order, initial function, right-hand function) of fractional neutral delay differential equations (FNDDEs). The corresponding theoretical results are given respectively. Furthermore, we present some numerical results that support our theoretical analysis.

Shuiping Yang. (2020). Dependence Analysis of the Solutions on the Parameters of Fractional Neutral Delay Differential Equations. Advances in Applied Mathematics and Mechanics. 8 (5). 772-783. doi:10.4208/aamm.2013.m436
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