| 一致分数阶非线性微分方程的精确解 |
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| 引用本文： | 闫立梅,刘艳芹,柳爱珍.一致分数阶非线性微分方程的精确解[J].数学的实践与认识,2021(6):225-229. |
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| 作者姓名： | 闫立梅 刘艳芹 柳爱珍 |
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| 作者单位： | 德州学院数学与大数据学院 |
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| 基金项目： | 国家自然科学基金青年基金(11801060)。 |
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| 摘 要： | 同时考虑了Kudryashov方法和Khalil一致分数阶变换,构造了求解一致分数阶非线性微分方程精确解的新方法,并将其用于求解时间-空间一致分数阶Whitham-Boroer-Kaup方程,得到了Whitham-Boroer-Kaup方程新的精确解,验证了该方法的有效性和可行性.
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| 关 键 词： | Kudryashov方法 一致分数阶导数 精确解 |
Exact Solutions for Conformable Fractional Nonlinear Differential Equations |
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| YAN Li-mei,LIU Yan-qin,LIU Ai-zhen.Exact Solutions for Conformable Fractional Nonlinear Differential Equations[J].Mathematics in Practice and Theory,2021(6):225-229. |
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| Authors: | YAN Li-mei LIU Yan-qin LIU Ai-zhen |
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| Institution: | (School of Mathematics and Big Data of Dezhou University,Dezhou 253023,China) |
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| Abstract: | On basis of Kudryashov method and conformable fractional transform,a novel method for solving exact solutions of conformable fractional nonlinear differential equations is designed.Time-space conformable fractional Whitham-Boroer-Kaup equation is considered,some new exact solutions of the equation are obtained by the method. |
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| Keywords: | Kudryashov method conformable fractional derivative exact solution |
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