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一类分数阶非线性时滞问题的奇摄动

朱红宝

朱红宝. 一类分数阶非线性时滞问题的奇摄动[J]. 应用数学和力学, 2019, 40(12): 1356-1363. doi: 10.21656/1000-0887.400195
引用本文: 朱红宝. 一类分数阶非线性时滞问题的奇摄动[J]. 应用数学和力学, 2019, 40(12): 1356-1363. doi: 10.21656/1000-0887.400195
ZHU Hongbao. A Class of Fractional Nonlinear Singularly Perturbed Problems With Time Delays[J]. Applied Mathematics and Mechanics, 2019, 40(12): 1356-1363. doi: 10.21656/1000-0887.400195
Citation: ZHU Hongbao. A Class of Fractional Nonlinear Singularly Perturbed Problems With Time Delays[J]. Applied Mathematics and Mechanics, 2019, 40(12): 1356-1363. doi: 10.21656/1000-0887.400195

一类分数阶非线性时滞问题的奇摄动

doi: 10.21656/1000-0887.400195
基金项目: 安徽省高校自然科学研究重点项目(KJ2019A0062)
详细信息
    作者简介:

    朱红宝(1975—),男,硕士(E-mail: zhuhb@ahut.edu.cn).

  • 中图分类号: O175.14

A Class of Fractional Nonlinear Singularly Perturbed Problems With Time Delays

  • 摘要: 讨论了一类奇异摄动非线性分数阶时滞问题.首先利用奇异摄动方法求出了问题的外部解.再利用伸展变量法构造了问题在边界附近的两个边界层校正项,得出了所提问题的形式渐近解.最后,在合适的假设条件下,利用微分不等式理论证明了解的一致有效性,并给出了结论及未来的研究方向.
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出版历程
  • 收稿日期:  2019-06-20
  • 修回日期:  2019-08-10
  • 刊出日期:  2019-12-01

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