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分数阶双参数高阶非线性扰动模型的渐近解

徐建中 莫嘉琪

徐建中, 莫嘉琪. 分数阶双参数高阶非线性扰动模型的渐近解[J]. 应用数学和力学, 2020, 41(6): 679-686. doi: 10.21656/1000-0887.400238
引用本文: 徐建中, 莫嘉琪. 分数阶双参数高阶非线性扰动模型的渐近解[J]. 应用数学和力学, 2020, 41(6): 679-686. doi: 10.21656/1000-0887.400238
XU Jianzhong, MO Jiaqi. Asymptotic Solution for Fractional-Order 2-Parameter High-Order Nonlinear Perturbed Models[J]. Applied Mathematics and Mechanics, 2020, 41(6): 679-686. doi: 10.21656/1000-0887.400238
Citation: XU Jianzhong, MO Jiaqi. Asymptotic Solution for Fractional-Order 2-Parameter High-Order Nonlinear Perturbed Models[J]. Applied Mathematics and Mechanics, 2020, 41(6): 679-686. doi: 10.21656/1000-0887.400238

分数阶双参数高阶非线性扰动模型的渐近解

doi: 10.21656/1000-0887.400238
基金项目: 国家自然科学基金(41275062);安徽省教育厅自然科学重点基金( KJ2019A1303);安徽省高校优秀青年人才支持计划项目(gxyq2018116)
详细信息
    作者简介:

    徐建中(1979—), 男, 副教授,硕士(E-mail: xujianzhongok@163.com);莫嘉琪(1937—),男,教授(通讯作者. E-mail: mojiaqi@mail.ahnu.edu.cn).

  • 中图分类号: O175.29

Asymptotic Solution for Fractional-Order 2-Parameter High-Order Nonlinear Perturbed Models

Funds: The National Natural Science Foundation of China(41275062)
  • 摘要: 研究了一类高阶非线性分数阶扰动微分模型.在适当的条件下,首先利用扰动方法求出了原问题的外部解,然后用伸长变量、合成展开和幂级数理论构造出解的第一、第二边界层校正项,并得到了解的形式渐近展开式.最后利用微分不等式理论,研究了问题解的渐近性态,并证明了问题解渐近估计式的一致有效性.
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出版历程
  • 收稿日期:  2019-08-13
  • 修回日期:  2019-08-27
  • 刊出日期:  2020-06-01

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